- Profile
**Qualifications**M.Sc., M. Phil., Ph. D.**Designation**Professor**Division**Mathematics**Contact No.**+91-11-2509906**E-Mail**vijaygupta2001@hotmail.com

Biosketch

Prof. Vijay Gupta is Professor and Head at the Department of Mathematics at NSIT, New Delhi. A Ph D from University of Roorkee (now IIT Roorkee). His area of research is Approximation Theory especially on linear positive operators he is the author of two books, eleven book chapters and over 250 research papers to his credit. Currently, he is actively associated editorially with over 25 international scientific research journals. The present h-index is 26.

Areas of Interest

Approximation Theory

(i) PAPERS PUBLISHED/ACCEPTED IN JOURNALS: 257

1. M. Saleem, S. U. Siddiqui and Vijay Gupta, A mathematical model with young predation, J. Math. Biology 25 (1987), 89-101.

2. P. N. Agrawal, Vijay Gupta and A. Sahai, On convergence of derivatives of linear combinations of modified Lupas operators, Publ. Inst. Math. (Beograd) 45 (59) (1989), 147-154.

3. Vijay Gupta and P. N. Agrawal, On linear combination of Phillips operators, Indian Acad. Math. 11(2) (1989), 106-114.

4. T. A. K. Sinha, P. N. Agrawal, A. Sahai and Vijay Gupta, Improved Lp approximation by linear combination of modified Lupas operators, Bull. Inst. Math. Acad Sinica 17 (3) (1989), 106-114.

5. P. N. Agrawal and Vijay Gupta, Simultaneous approximation by linear combination of modified Bernstein polynomials, Bull Greek Math. Soc. 39 (1989), 29-43.

6. Vijay Gupta, P. N. Agrawal, A. Sahai and T. A. K. Sinha, Lp-approximation by combination of modified Szasz-Mirakyan operators, Demonstratio Math. 23 (3) (1990), 577-591.

7. P. N. Agrawal and Vijay Gupta, On the iterative combination of Phillips operators, Bull. Inst. Math. Acad Sinica 18 (4) (1990), 361-368.

8. Vijay Gupta and P. N. Agrawal, An estimate of the rate of convergence for modified Szasz-Mirakyan operators of functions of bounded variation, Publ. Inst. Math. (Beograd) 49 (63) (1991), 97-103.

9. R.P. Sinha, P. N. Agrawal, and Vijay Gupta, On simultaneous approximation by modified Baskakov operators, Bull. Soc. Math. Belg. Ser. B 43 (2) (1991), 217-231.

10. H. S. Kasana, P. N. Agrawal and Vijay Gupta, Inverse and saturation theorems for linear combination of modified Baskakov operators, Approx Theory and its Appl. 7 (2) (1991), 65-81.

11. P. N. Agrawal and Vijay Gupta, A saturation theorem for linear combinations of Bernstein Durrmeyer polynomials, Ann Polonici Math. LVII (2) (1992), 157-164.

12. Vijay Gupta and P. N. Agrawal, Lp-approximation by iterative combination of Phillips operators, Publ. Inst. Math. (Beograd) 52 (66) (1992), 101-109.

13. Vijay Gupta and Ashok Sahai, On linear combination of Phillips operators, Soochow J. Math. 19 (3) (1993), 313-323.

14. Vijay Gupta, A note on modified Szasz operators, Bull Inst. Math. Acad Sinica 21 (3) (1993), 275-278.

15. Vijay Gupta and G. S. Srivastava, Simultaneous approximation by Baskakov-Szasz type operators, Bull. Math.de la Soc. Sci. de Roumanie (N. S.) 37 (85)(3-4) (1993), 73-85.

16. P. N. Agrawal and Vijay Gupta, On convergence of derivatives of Phillips operators, Demonstratio Math. 27 (2) (1994), 501-510.

17. Vijay Gupta, A note on modified Baskakov type operators, Approx Theory and its Appl. 10 (3) (1994), 74-78.

18. P. N. Agrawal and Vijay Gupta, Inverse theorem for linear combinations of modified Bernstein polynomials, Pure and Applied Math Sci. 40 (1995), 29-38.

19. Vijay Gupta, G. S. Srivastava and T. A. K. Sinha, Inverse theorem in Lp-approximation by modified Szasz-Mirakyan operators, Demonstratio Math. 28 (2) (1995), 285-292.

20. Vijay Gupta and G. S. Srivastava, Inverse theorem for Szasz Durrmeyer operators, Bull. Inst. Math. Acad Sinica 23 (2) (1995), 141-150.

21. Vijay Gupta, G. S. Srivastava and A. Sahai, On simultaneous approximation by Szasz Beta operators, Soochow J. Math. 21 (1) (1995), 1-11.

22. Vijay Gupta, Approximation by Szasz Durrmeyer operators, Ganita 46 (2) (1995), 65-72.

23. Vijay Gupta and G. S. Srivastava, Convergence of derivatives by summation-integral type operators, Revista Colombiana de Mate. 29 (1) (1995), 1-11.

24. Vijay Gupta, Global approximation by modified Baskakov type operators, Publ. Math. 39 (2) (1995), 263-271.

25. Vijay Gupta and A. Ahmad, Simultaneous approximation by modified Beta operators, Istanbul Universitesi Fen Fakultesi Mat Dergsi 54 (1995), 11-22.

26. Vijay Gupta, A sharp estimate on the degree of approximation to functions of bounded variation by certain operators, Approx. Theory and its Appl. 11:3(1995), 106-107.

27. Vijay Gupta, Simultaneous approximation by Szasz-Durrmeyer operators, The Math. Student 64, 1-4 (1995), 27-36.

28. Vijay Gupta and A. Ahmad, An improved estimate on the degree of approximation to function of bounded variation by certain operators, Revista Colombiana de Mate. 29 (2) (1995), 119-126.

29. Vijay Gupta and G. S. Srivastava, On convergence of derivatives by Szasz-Mirakyan-Baskakov type operators, The Math Student 64 (1-4) (1995), 195-205.

30. Vijay Gupta, Rate of convergence by Baskakov Beta operators, Mathematica 37 (60) (1-2) (1995), 109-117.

31. Vijay Gupta and G. S. Srivastava, Saturation theorem for Szasz Durrmeyer operators, Demonstratio Math. 29 (1) (1996), 7-16.

32. Vijay Gupta and G. S. Srivastava, An estimate on the rate of convergence of modified Baskakov operators for functions of bounded variation, Kyungpook Math. J. 36 (1996), 237-247.

33. Vijay Gupta, On the rate of pointwise convergence of modified Baskakov operators, Soochow Math. J. 22 (4) (1996), 543-552.

34. Vijay Gupta and G. S. Srivastava, Approximation by Durrmeyer type operators, Ann. Polonici Math. LXIV, 2 (1996), 153-159.

35. Vijay Gupta and Paulina Pych Taberska, On the rate of point wise convergence of modified Baskakov operators, Functions et Approximatio XXIV (1996), 59-67.

36. Vijay Gupta, A note on modified Bernstein polynomials, Pure and Applied Math Sci. 44 (1-2) (1996), 1-3.

37. Vijay Gupta and G. S. Srivastava, On the rate of convergence of Phillips operators for functions of bounded variation, Commentation Math. XXXVI (1996), 123-130.

38. Vijay Gupta and P. N. Agrawal, Inverse theorem in simultaneous approximation by Szasz Durrmeyer operators, J. Indian Math. Soc. 63(1-4) (1997), 99-113.

39. Vijay Gupta and G. S. Srivastava, On simultaneous approximation by combinations of Baskakov-Szasz type operators, Fasciculi Mate. 27(1997), 29-42.

40. Vijay Gupta and D. Kumar, Rate of convergence for modified Baskakov operators, Demonstratio Math XXX (2) (1997), 339-346.

41. Vijay Gupta and G. S. Srivastava, Saturation theorem in Lp-approximation by combinations of modified Szasz-Mirakyan operators, Demonstratio Math. 30 (3)(1997),573-578.

42. Vijay Gupta, A note on the rate of convergence of Durrmeyer operators for functions of bounded variation, Soochow J. Math. 23 (1)(1997), 117-120.

43. Vijay Gupta and K. V. Arya, On the rate of point wise convergence of modified Baskakov type operators for functions of bounded variation, Kyungpook Math. J. 38 (2) (1998), 307-315.

44. G. S. Srivastava and Vijay Gupta, Converse theorem for modified Baskakov type operators, Istanbul Universitesi Fen Fakultesi Mat Dergsi 57-58 (1998-1999), 63-69.

45. Vijay Gupta and Prabhakar Gupta, Rate of convergence by Szasz-Mirakyan Baskakov type operators, Istanbul Universitesi Fen Fakultesi Mat. Dergisi 57-58 (1998-1999), 71-78.

46. Vijay Gupta and D. Kumar, On approximation by Lagrange’s interpolation polynomials, Pan American Math. J. 9 (4) (1999), 69-82.

47. Vijay Gupta and R. P. Pant, Rate of convergence of the modified Szasz-Mirakyan operators on functions of bounded variation, J. Mathematical Analysis and Applications 233 (1999), 476-483.

48. Vijay Gupta, Prabhakar Gupta and Marc Rogalski, Improved rate of convergence for the modified Szasz-Mirakyan operators, Approx. Theory and its Appl. 16:3(2000), 94-99.

49. Prabhakar Gupta and Vijay Gupta, Rate of convergence on Baskakov-Szasz type operators, Fasciculi Mate. 31 (2001), 37-44.

50. Vijay Gupta and Prabhakar Gupta, Direct theorem in simultaneous approximation for Szasz-Mirakyan Baskakov type operators, Kyungpook Math. J. 41 (2) (2001), 243-249.

51. R. P. Pant, P.C. Joshi and Vijay Gupta, A Meir Keeler type fixed point theorem, Indian J. Pure and Appl. Math.32(6) (2001), 779-787.

52. Vijay Gupta and Prabhakar Gupta, Rate of convergence for the Baskakov-Durrmeyer type operators, Ganita 52 (1) (2001), 69-77.

53. Vijay Gupta, Prabhakar Gupta and P. N. Agrawal, Saturation theorem in simultaneous approximation by Szasz Durrmeyer, J. Indian Math. Soc. 69 ,(1-4) (2002), 65-69.

54. Vijay Gupta, On a new type of Meyer Konig and Zeller operators, J. Inequal. Pure Applied Math. 3 (4) (2002) Art. 57.

55. Vijay Gupta, A note on Meyer Konig and Zeller operators for functions of bounded variation, Approx. Theory and its Appl. 18 (3) (2002), 99-102.

56. Vijay Gupta, Rate of convergence on Baskakov Beta Bezier operators for functions of bounded variation, Int. J. Math. and Math. Sci. 32 (8) (2002), 471-479.

57. Vijay Gupta, Inequality estimate on Durrmeyer type operators, J. Nonlinear Functional Analysis and Applications, 7 (4) (2002), 481-494.

58. X. M. Zeng and Vijay Gupta, Rate of convergence of Baskakov-Bézier type operators for locally bounded functions, Comput. Math. Appl.44 (10-11) (2002), 1445-1453. (Elsevier Science Publ.).

59. Vijay Gupta, V. Vasishtha and M. K. Gupta, Rate of convergence of the Szasz-Kantorovitch-Bezier operators, Publications de l' Inst. Math. 72(86) (2002), 137-143.

60. Ulrich Abel, Vijay Gupta and M. Ivan, On the rate of convergence of bounded variation functions by Baskakov-Kantorovitch-Bezier operators, Revue D’Anal. Numerique et de Theorie de L’ Approximation 31(2) (2002), 123-133.

61. Ulrich Abel and Vijay Gupta, An estimate of the rate of convergence of a Bézier variant of the Baskakov-Kantorovich operators for bounded variation functions, Demons. Math. 36(1) (2003), 123-136.

62. Ulrich Abel, Vijay Gupta and M. Ivan, On the rate of convergence of a Durrmeyer variant of Meyer Konig and Zeller operators, Archieves Inequal. Appl. 1(2003), 1-9.

63. Vijay Gupta, Prerna Maheshwari and V. K. Jain, Lp Inverse theorem for modified Beta operators, Int. J. Math. Math. Sci. 33 (20) (2003), 1395-1403.

64. Vijay Gupta and Niraj Kumar, A note on the integral modification of the Meyer Konig and Zeller operators, Int. J. Math. and Math. Sci. 2003:31 (2003), 2003-2009.

65. H. M. Srivastava and Vijay Gupta, A certain family of summation integral type operators, Math and Comput. Modelling 37 (2003), 1307-1315.

66. Vijay Gupta, Rate of approximation by new sequence of linear positive operators, Comput. Math. Appl. 45(12) (2003), 1895-1904.

67. Vijay Gupta, V. Vasishtha and M. K. Gupta, Rate of convergence of summation-integral type operators with derivatives of bounded variation, J Inequqlities in Pure and Applied Mathematics 4(2) (2003), Art.34.

68. Vijay Gupta and Ulrich Abel, On the rate of convergence of Bezier variant of Szasz-Durrmeyer operators, Analysis in Theory and Applications 19:1 (2003), 81-88.

69. Vijay Gupta and Prerna Maheshwari, Bezier variant of a new Durrmeyer type operators, Rivista di Matematica della Università di Parma" volume 7 (2) (2003), 9-21.

70. Vijay Gupta, Prerna Maheshwari and V. K. Jain, On the linear combinations of modified Beta operators, Pure and Applied Math Sci. 48 (2003),

71. Vijay Gupta and Prerna Maheshwari, On Baskakov Szasz type operators, Kyungpook Math. J. 43(3) (2003), 315-325.

72. Prerna Maheshwari and Vijay Gupta, An estimate on the rate of convergence for modified Beta operators, Indian J. Pure and Appl. Math. 34 (2003).

73. Vijay Gupta, V. Vasishtha and M. K. Gupta, An estimate on the rate of convergence of Bezier type summation integral operators, Kyungpook Math. J. 43 (2003), 345-354.

74. Vijay Gupta, M. K. Gupta and V. Vasishtha, Simultaneous approximation by summation integral type operators, J. Nonlinear Functional Analysis and Applications, 8(3) (2003), 399-412.

75. Ulrich Abel, Vijay Gupta and Mircea Ivan, The complete asymptotic expansion for Baskakov Szasz Durrmeyer operators, Annals Tiberiu Popoviciu Itinerant Seminar of Functional Equations, Approximation and Convexity, ISSN 1584-4536, Vol. 1 (2003) 3-15.

76. Vijay Gupta, Degree of approximation to function of bounded variation by Bezier variant of MKZ operators, J. Mathematical Analysis and Applications. 289 (1) (2004), 292-300.

77. Vijay Gupta, Rate of convergence by Bezier variant of Phillips operators, Taiwanese J. Math.8 (2) (2004), 183-190.

78. Vijay Gupta, The Bezier variant of Kantorovitch operators, Comput. Math. Appl. 47 2/3 (2004), 227-232. (Elsevier Science Publ.).

79. Vijay Gupta and Ulrich Abel, Rate of convergence of bounded variation function by a Bezier Durrmeyer variant of Baskakov operators, International J. Math and Math Sci. 2004 (9)(2004), 459-468.

80. Vijay Gupta and M. K. Gupta, Rate of convergence for certain family of summation integral type operators, J. Math. Anal. Appl. 296 2 (2004), 608-618..

81. Vijay Gupta, Rate of convergence of Baskakov-Beta Bezier operators for locally bounded functions, Turkish J. Math.28 (3) (2004), 271-280.

82. U. Abel and V. Gupta, Rate of convergence of Stancu beta operators for functions of bounded variation, Revue D’Anal. Numerique et de Theorie de L’ Approximation 33(1) (2004), 3-9.

83. Vijay Gupta and Ulrich Abel, The rate of convergence by a new type of Meyer Konig and Zeller operators, Fasciculi Math. 34 (2004), 15-23.

84. Ulrich Abel, Vijay Gupta and M. Ivan, The complete asymptotic expansion for general Durrmeyer variant of Meyer Konig and Zeller operators, Mathematical and Computer Modelling 40 (2004), 867-875.(Elsevier Science Publ.).

85. Vijay Gupta and N. Ispir, On simultaneous approximation for some Bernstein type operators, International J. Math and Math Sci. 2004 (71)(2004), 3951-3958.

86. Vijay Gupta and Alexandru Lupas, On the rate of approximation for the Bezier variant of Kantorovich-Balasz operators, General Mathematics, 12 (3) (2004), 3-18.

87. Jesus de la Cal and Vijay Gupta, On the approximation of locally bounded functions by operators of Bliemann Butzer and Hahn, J. Inequal Pure Appl. Math. 6 (1) (2005), Art 4, 1-10.

88. Vijay Gupta and Ogun Dogru, Direct results for certain family of integral type operators, J. Inequal Pure Appl. Math. 6 (1) (2005), Art 21, 1-11.

89. Ulrich Abel, Vijay Gupta and M. Ivan, Rate of convergence of Kantorovitch variant of Meyer-Konig Zeller operators, Mathematical Inequality and Applications 8 (1)(2005).

90. Vijay Gupta, Some approximation properties for modified Baskakov type operators, Georgian Math. J. 12 (2) (2005), 217-228.

91. Z. Finta and Vijay Gupta, Direct and inverse estimates for Phillips type operators, J. Math Anal Appl. 303(2) (2005), 627-642.

92. Ulrich Abel, Vijay Gupta and Ram N. Mohapatra, Local approximation by beta operators, Nonlinear Analysis, Series A, Theory and Methods 62 (1) (2005), 41-52.

93. H. M. Srivastava and Vijay Gupta, Rate of convergence for Bezier variant of the Bleimann-Butzer-Hahn operators, Applied Mathematics Letters 18 (8) (2005), 849-857.

94. Ogun Dogru and Vijay Gupta, Motonocity and asymptotic estimate of Bleiman Butzer and Hahn operators based on q-integers, Georgian Math. J. 12 3 (2005), 415-422.

95. Vijay Gupta and N. Ispir, On the Bezier variant of generalized Kantorovitch type Balazs operators, Applied Mathematics Letters 18(9) (2005), 1053-1061.

96. Ulrich Abel, Vijay Gupta and M. Ivan, Asymptotic approximation of functions and their derivatives by generalized Baskakov-Szasz-Durrmeyer operators, Analysis in Theory and Application 21 (1) (2005), 15-26.

97. Vijay Gupta and Alexandru Lupas, Rate of Approximation for the Bezier variant of Bleimann-Butzer and Hahn operators, General Mathematics 13 (1) (2005), 41-54.

98. Vijay Gupta and Alexandru Lupas, Direct results for mixed Beta Szasz type operators, General Mathematics 13 (2) (2005), 83-94.

99. Vijay Gupta and N Deo, On the rate of convergence for bivariate Beta operators, General Mathematics 13 (3) (2005), 107-114.

100. Vijay Gupta R. N. Mohapatra and Z. Finta, On certain family of mixed summation integral type operators, Mathematical and Computer Modelling 42 (2005), 181-191.

101. Vijay Gupta, An Estimate on the convergence of Baskakov Bézier operators, J Mathematical Analysis and Applications 3121 (2005), 280-288.

102. Vijay Gupta, Ulrich Abel and M. Ivan, Rate of convergence of Beta operators of second kind for functions with derivatives of bounded variation, International Journal of Math and Math Sci. 2005(23) (2005), 3827-3833.

103. Vijay Gupta, Rate of convergence for Szasz Bézier operators, Ukrianian Mathematical Journal 57 (12) (2005), 1892-1900.

104. Z. Finta and Vijay Gupta, Some direct results for the iterative combinations of Stancu beta operators, J. Concrete and Applicable Mathematics 4(2) (2006), 229-240.

105. Vijay Gupta, Error estimation by mixed summation integral type operators, J. Mathematical Analysis and Applications 313 2 (2006), 632-641.

106. Vijay Gupta and N. Ispir, On the Kantorovitch variant of generalized Bernstein type rational functions, Demons. Math. 39 1 (2006), 117-130.

107. Vijay Gupta and Esra Erkus, On certain hybrid family of summation integral type operators, Journal of Inequalities in Pure and Applied Mathematics 7 (1) (2006), 1-11.

108. Vijay Gupta and Ogun Dogru, Approximation of bounded variation functions by a Bezier variant of the Beilmann, Butzer and Hahn operators, International J. Math Math Sci Vol. 2006, Art Id 37253, (2006), 1-5.

109. V. Gupta and R. N. Mohapatra, On the rate of convergence for certain summation integral type operators, Mathematical Inequalities and Applications 9 (3) (2006), 465-472.

110. Ogun Dogru and Vijay Gupta, Korovkin type approximation properties of bivariate q-Meyer Konig and Zeller operators, Calcolo 43(1)(2006), 51-63.

111. Vijay Gupta, Tengiz Shriayev and M. Craciun, Rate of approximation for certain Durrmeyer operators. Georgian Math J. 13 (2) (2006), 277-284.

112. Vijay Gupta and M A Noor, Convergence of derivatives for certain mixed Szasz Beta operators, Journal of Mathematical Analysis and Applications 321 (1) (2006), 1-9.

113. A. Aral and Vijay Gupta, q-derivatives and applications to the q-Szasz Mirakyan operators, Calcalo 43 (3) (2006), 151-170.

114. Vijay Gupta, M. A. Noor and M. S. Beniwal, Rate of convergence in simultaneous approximation for Szasz Mirakyan Durrmeyer operators, Journal of Mathematical Analysis and Applications 322 (2) (2006), 964-970.

115. O. Duman, E. Erkus and V. Gupta, Statistical Rates on The Multivariate Approximation Theory, Math Comput Modelling 44 (9-10) (2006), 763-770.

116. N K Govil and V Gupta, Simultaneous approximation for Bezier variant of Baskakov Beta operators, Mathematical and Computer Modelling 44, 11-12(2006), 1153-1159.

117. N K Govil, Vijay Gupta and M A Noor, Simultaneous approximation for the Phillips operators, International Journal of Math and Math Sci. Vol. 2006 Art Id. 49094 (2006), 1-9.

118. Vijay Gupta, M A Noor, Man Singh Beniwal and M K Gupta, On simultaneous approximation for certain Baskakov Durrmeyer type operators. Journal of Inequalities in Pure and Applied Mathematics 7 (4) (2006), Art.125, 1-15.

119. Vijay Gupta, P. N. Agrawal and H. Karsi, Simultaneous Approximation for the Phillips Bezier Operators, Journal of Inequalities in Pure and Applied Mathematics 7 (4) (2006), 1-15.

120. N K Govil and Vijay Gupta, Rate of convergence for Baskakov type operators on functions of bounded variation, Journal of Combinatorics, Information and System Sciences 31 (1-4) (2006), 1-17.

121. Zoltan Finta, N K Govil and V. Gupta, Some results on modified Szasz-Mirakyan operators, Journal of Mathematical Analysis and Applications 327(2)(2007), 1284-1296.

122. Vijay Gupta, Simultaneous approximation for Bezier variant of Szasz-Mirakyan- Durrmeyer operators, Journal of Mathematical Analysis and Applications 328(1) (2007),101-105.

123. Vijay Gupta and R. N. Mohapatra, Rate of convergence for modified Szasz operators, Journal of Concrete and Applicable Mathematics 5(3) (2007), 197-202.

124. M K Gupta, Vijay Gupta and Manoj Kumar, Direct and inverse estimates for a new family of linear positive operators in simultaneous approximation, J. Math Anal Appl 320 (2) (2007), 799-816.

125. N K Govil and V Gupta, Direct estimates in simultaneous approximation for Durrmeyer type operators, Mathematical Inequalities and Applications 10 (2) (2007), 371-379.

126. Vijay Gupta and P. N Agrawal, Rate of convergence for certain Baskakov Durrmeyer type operators, Anal. Univ. Ordea Fasc. Math. 14 (2007), 33-39.

127. H. M. Srivastava, Zoltan Finta and Vijay Gupta, Convergence of a certain family of summation integral type operators, Applied Mathematics and Computation 190 (2007),

449-457.

128. Vijay Gupta, On bounded variation functions by a general MKZD operators, Acta Mathematica Sinica, Eng. Ser. 23 (8) (2007), 1457-1462.

129. M A Noor and Vijay Gupta, Modified Householder iterative method free from second derivatives for nonlinear equations, Applied Mathematics and Computation, 190 (2) (2007), 1701-1706.

130. Vijay Gupta and X. M. Zeng, On the Bezier variant of Balazs Kantorovitch operators, Math Slovaca 57 (4) (2007), 349-358.

131. Vijay Gupta, Erratum to "Simultaneous approximation for Bezier variant of Szasz-Mirakyan-Durrmeyer operators "[J. Math. Anal. Appl. 328 (2007) 101-105]”, J. Math Anal. Appl. 335 (2)(2007), 1485.

132. M. A. Noor, Khalida Inayat Noor and Vijay Gupta, On equilibrium like problems, Applicable Analysis, Applicable Analysis 86(7)(2007), 807-818.

133. Z. Walczak and Vijay Gupta, Uniform convergence with certain linear operators, Indian J. Pure and Applied Math. 38 (2007), 259-269.

134. Vijay Gupta and Harun Karsi, Rate of convergence for Bezier variant of MKZD operators, Georgian Math J. 14 (4)(2007), 651-659.

135. Xu Chen, Xioming Zeng, Lian Boyong and Vijay Gupta, Convergence Property of Control Meshes of Catmull-Clark Surfaces, Journal of Mathematical Study, 40 (2007), 386-391.

136. Vijay Gupta and Jyoti Sinha, Simultaneous approximation for generalized Baskakov-Durrmeyer type operators, Mediterranean Journal of Mathematics 4 (4) (2007), 483-495.

137. P. N. Agrawal, Vijay Gupta and Asha Ram Gairola, On the derivatives of iterative combinations of Phillips operators, Nonlinear Funct. Anal. Appl. 12 (2) (2007), 195-203.

138. Harun Karsli and Vijay Gupta, On Convergence of q-Chlodowsky operators, Applied Mathematics and Computation 195 (1) (2008), 220-229.

139. Vijay Gupta and Jyoti Sinha, Direct results on certain Szasz-Mirkyan operators, Applied Mathematics and Computation 195 (1) (2008), 230-239.

140. Vijay Gupta, Some approximation properties on q-Durrmeyer operators, Applied Math Computation 197 (1) (2008), 172-178.

141. Nurhayat Ispir and Vijay Gupta, A Statistical approximation by generalized Kantorovich Bernstein type rational operators, South East Asian Bull of Math. 32 (1) (2008), 87-98.

142. Vijay Gupta and Mircea Ivan, Rate of simultaneous approximation for the Bezier variant of certain operators, Applied Mathematics and Computation 199 (1) (2008), 392-395.

143. Ulrich Abel, Vijay Gupta and Ram N. Mohapatra, Local approximation by a variant of Bernstein Durrmeyer operators, Nonlinear Analysis Series A: Theory, Methods & Applications 68 (11) (2008), 3372-3381. 1 June 2008.

144. H. Karsi and Vijay Gupta, Rate of Convergence by Nonlinear Integral Operators for Functions of Bounded Variation, Calcolo 45 (2008), 87-97.

145. Vijay Gupta, Rate of approximation for the Balazs-Kantorovich-Bezier operators, Applied Mathematics and Computation 199 (2) (2008), 823-827.

146. Vijay Gupta and R. N. Mohapatra, Approximation by Durrmeyer Bezier operators, Nonlinear Analysis, Ser. B, Real World Applications 9 (4) (2008), 1491-1498.

147. Z. Walczak and V Gupta, A Note on the convergence of Baskakov type operators, Applied Mathematics and Computation 202(1) (2008), 370-375.

148. Vijay Gupta and H Wang, The rate of convergence of q-Durrmeyer operators for 0<q<1. Mathematical Methods in Applied Sciences 31 (16) (2008), 1946-1955.

149. Zoltan Finta and Vijay Gupta, Durrmeyer type Generalized Baskakov-Beta Operators, South East Asian Bull. Math. 32(6) (2008), 1037-1048.

150. N. K. Govil and Vijay Gupta, Convergence rate for generalized Baskakov type operators, Nonlinear Analysis Series A: Theory, Methods & Applications, 69, Issue 11, 1 December (2008) 3795-3801.

151. P. N. Agrawal, Vijay Gupta and Asha Ram Gairola, On iterative combination of a Bernstein Durrmeyer-type operators, Georgian Mathematical J 15(4) (2008), 591-600.

152. Vijay Gupta, Rate of convergence for generalized Baskakov Beta operators, South East Asian Bull. Math. 33 (1) (2009), 57–64.

153. Zoltan Finta and Vijay Gupta, Approximation by q Durrmeyer operators, J Applied Math and Computing 29 (1-2) (2009), 401-415.

154. Vijay Gupta and Zoltan Finta, On certain q Durrmeyer operators, Applied Mathematics and Computation 209 (2009), 415-420.

155. Harun Karsli, Vijay Gupta and A. Izgi, Rate of pointwise convergence of a new kind of Gamma operators for functions of bounded variation, Applied Math Letters 22 (2009), 505-510.

156. Vijay Gupta, Approximation for modified Baskakov Durrmeyer type operators, Rocky Mountain J Math 39 (3) (2009), 825-841.

157. Ali Aral and Vijay Gupta, On q-Baskakov type operators, Demonstratio Mathematica 42 (1) (2009), 109-122.

158. Vijay Gupta and A. J. Lopez-Moreno and Jose-Manuel Latorre-Palacios, On Simultaneous Approximation of the Bernstein Durrmeyer Operators, Applied Mathematics and Computation 213 (1) (2009), 112-120.

159. Vijay Gupta, P. N. Agrawal and A R Gairola, On the integrated Baskakov type operators, Applied Mathematics and Computation 213 (2) (2009), 419-425.

160. Sorin Gal and Vijay Gupta, Approximation of vector-valued functions by $q$-Durrmeyer operators with applications to random and fuzzy approximation, Oradea Math. J. 16 (2009), 233-242.

161. N. K. Govil and Vijay Gupta, Convergence of q-Meyer-Konig-Zeller-Durrmeyer operators, Advanced Studies in Contemporary Mathematics 19 (2009), 97-108.

162. X. M. Zeng and Vijay Gupta, Approximation by integrated MKZ-Bezier operators in the case , Central European J. Math. 7(3) (2009), 550-557.

163. Vijay Gupta and Cristina Radu, Statistical approximation properties of q Baskakov Kantorovich operators, Central Europeon J. Math. 7 (4) (2009), 809-818.

164. T. A. K. Sinha, Vijay Gupta, P. N. Agrawal and A. R. Gairola, Inverse theorem for an iterative combinations of Bernstein Durrmeyer operators, Studia Univ. Babes Bolyai Mathematica LIV (4) (2009), 153-164.

165. Vijay Gupta and Ali Aral, Generalized Baskakov Beta operators, Rocky Mountain J. Math. 39 (6) (2009), 1-13.

166. P. Maheshwari and V Gupta, On the rate of approximation by modified Beta operators, Int. J. Math Math Sci. Volume 2009 (2009), Article ID 205649, 8 pages

167. Vijay Gupta, Certain family of Durrmeyer type operators, Annales Universitatis Mariae Curie-Sklodowska Lublin-Polonia, Series A. Vol. LXIII (2009), 109-115.

168. A. Aral and Vijay Gupta, On the Durrmeyer type modification of the q Baskakov type operators, Nonlinear Analysis: Theory Methods and Applications Volume 72, Issues 3-4, 1 February 2010, 1171-1180.

169. Z. Finta and Vijay Gupta Approximation Properties of q Baskakov operators, Central Europeon Journal of Mathematics 8 (1) (2010), 199-211.

170. Vijay Gupta and Ali Aral, Convergence of the q analogue of Szasz Beta operators, Applied Mathematics and Computation 216 (2010), 374-380.

171. Vijay Gupta and X. M. Zeng, Approximation by Bezier variant of the Szasz-Kantorovich Operator in case , Georgian Math J. 17 (2010), 253-260.

172. Vijay Gupta and Honey Sharma, Statistical approximation by q integrated Meyer Konig Zeller Kantorovich operators, Creative Math and Information Theory 19 (1)(2010), 45-52.

173. Vijay Gupta, On certain type Durrmeyer type q Baskakov operators, ANNALI DELL'UNIVERSITA' DI FERRARA Volume 56, Issue 2 (2010), 295-303. (Springer)

174. V Gupta, T. Kim, J. Choi and Y-Hee Kim, Generating functions for q Bernstein, q-Meyer-Konig-Zeller and q-Beta basis, Automation, Computer, Mathematics 19(1) (2010), 7-11.

175. Vijay Gupta, A note on q Baskakov-Szasz operators, Lobachevskii Journal of Mathematics 31(4) (2010), 359-366.

176. Vijay Gupta and Oktay Duman, Bernstein Durrmeyer type operators preserving linear functions, Math. Vesniki 62(4) (2010), 259-264.

177. Vijay Gupta, A note on modified Phillips operators, Southeast Asian Bulletin of Mathematics 34 (2010), 847-851.

178. Vijay Gupta and N I Mahmudov, Approximation properties of the $q$-Szasz-Mirakjan-Beta operators, Indian J Industrial and Appl Math 3(2) (2012), 41-53

179. Vijay Gupta and N. Deo, A Note on rate of approximation for certain Bezier-Durrmeyer operators, Math. Vesniki 63(1) (2011), 27-32.

180. Vijay Gupta and T. Kim, On the rate of convergence for q modified Beta operators, Journal of Math. Anal. Appl. 377 (2011), 471-480.

181. Ali Aral and Vijay Gupta, Generalized Szasz Durrmeyer operators, Lobachevskii Journal of Mathematics 32 (1) (2011), 23-31.

182. Vijay Gupta and Honey Sharma, Recurrence formula and better approximation for q Durrmeyer operators, Lobachevskii Journal of Mathematics 32 (2), (2011), 140-145.

183. G. Nowak and Vijay Gupta, The rate of point wise approximation of positive linear operators based on q integers, Ukrianian J. Math. 63 (3) (2011), 350-360.

184. Vijay Gupta, P. N. Agrawal and D. K. Verma, $q-$ Analogue of discrete Beta operators, Annali Dell Universita di Ferrara Volume 57, Issue 1 (2011), 39-66. (Springer).

185. Ali Aral and Vijay Gupta, Generalized q Baskakov operators, Mathematica Slovaca 61(4) (2011), 619-634.

186. Tuncer Acar, Vijay Gupta and Ali Aral, Rate of convergence for generalized Szasz operators, Bulletin of Math Sci. 1 (2011), 99-113.

187. V. Gupta, T. Kim, V. K. Singh and B. Lee, Rate of simultaneous approximation for Baskakov-Szasz operators, Proceedings of the Jangjeon Mathematical Society, 14 (2011), No. 3. pp. 267-275.

188. Vijay Gupta and N Deo, A note on improved estimates for integrated Szasz-Mirakyan operators, Mathematica Slovaca 61 (5) (2011), 799-806.

189. Vijay Gupta, Approximation for summation-integral type Beta-Szasz operators, Lobachevskii Journal of Mathematics 32 (3) (2011), 224-230.

190. Vijay Gupta and A. Aral, Approximation by q Baskakov Beta operators, Acta Mathematicae Applicatae Sinica, English Series 27(4)(2011), 569-580. (Springer).

191. Nazim Mamudov and Vijay Gupta, On certain q analogue of Szasz kantorovich operators, J. Applied Mathematics and Computing 37 (1-2) (2011), 407-419.

192. Sorin G. Gal and Vijay Gupta, Quantative estimates for a new complex Durrmeyer operator in compact disks, Applied Mathematics and Computation 218(6) (2011), 2944-2951.

193. Sorin G. Gal and Vijay Gupta, Approximation by a Durrmeyer-type operator in compact disk, Annali Dell Universita di Ferrara 57 (2011), 261-274.

194. Vijay Gupta and Ali Aral, Some approximation properties of q Baskakov Durrmeyer operators, Applied Mathematics and Computation 218 (3) (2011), 783-788.

195. Vijay Gupta and Rani Yadav, Better approximation by Stancu Beta operators, Rev. D’Anal. Numer Theor L’Approx. 40 (2) (2011), 149-155.

196. Ali Aral and Vijay Gupta, On q analogue of Stancu Beta operators, Applied Mathematics Letters 25 (2012), 67-71.

197. Vijay Gupta and R. Yadav, Rate of convergence for generalized Baskakov operators, Arab J. Mathematical Sciences 18 (1) (2012), 39-50.

198. N. I. Mahmudov and Vijay Gupta, Approximation by Genuine Durrmeyer-Stancu Polynomials in Compact Disks, Mathematical and Computer Modelling 55 (2012), 278-285.

199. D. K. Verma, V. Gupta and P. N. Agrawal, Some approximation properties of Baskakov-Durrmeyer-Stancu operators, Applied Math Computation, 218 (2012), 6549-6556.

200. Vijay Gupta and H Karsli, Some approximation properties by q-Sza?sz-Mirakyan-Baskakov-Stancu operators, Lobachevsky Journal of Math. 33 (2) (2012), 175-182.

201. N. K. Govil and Vijay Gupta, q-Beta-Szasz- Stancu Operators, Advanced Studies in Contemperory Mathematics 22(1) (2012), 117-123.

202. Sorin G. Gal and Vijay Gupta, Approximation be certain integrated Bernstein type operators in compact disks, Lobachevskii Journal of Mathematics 33(1) (2012), 39-46.

203. S. Gal, Vijay Gupta and N. I. Mahmudov, Approximation by a complex q Durrmeyer type operators, Ann. Univ. Ferrara 58 (1) (2012), 65-87.

204. Vijay Gupta and Rani Yadav, Direct estimates in simultaneous approximation for BBS operators, Applied Mathematics and Computation 218 (22) (2012), 11290-11296.

205. N. K. Govil and Vijay Gupta, Rate of approximation for Szasz-Mirakyan-Stancu-Durrmeyer operators, Lobachevsky Journal of Math 33(3) (2012), 249-254.

206. Vijay Gupta, A. Aral and Muzeyyen Ozhavzali, Approximation by q-Szász-Mirakyan-Baskakov operators, Fasciculi Math. 48 (2012), 35-48.

207. R. P. Agarwal and Vijay Gupta, On q-analogue of a complex summation-integral type operators in compact disks, Journal of Inequalities and Applications 2012, 2012:111.

208. S. Gal, Vijay Gupta, D. K. Verma and P. N. Agrawal, Approximation by complex Baskakov-Stancu operators in compact disks, Rend. Circ. Mat. Palermo 61 (2012), 153-165. (Springer)

209. Vijay Gupta and D. K. Verma, Approximation by complex Favard-Szasz-Mirakjan-tancu operators in compact disks, Mathematical Sciences 2012, 6:25 (17 August 2012).

210. Vijay Gupta, T. Kim and Sang-Hun Lee, q-analogue of a new sequence of linear positive operators, J. Inequal. Appl. 2012, 2012:144 doi:10.1186/1029-242X-2012-144

211. Vijay Gupta, Honey Sharma, Taekyun Kim and Sang-Hun Lee, Properties of q analogue of Beta operators, Advances in Diff Equation 2012, 2012:86 doi:10.1186/1687-1847-2012-86

212. N. Mahmoodov, Vijay Gupta and H. Kaffaoglu, On certain q-Phillips operators, Rocky Mountain J. Math 42 (4) (2012), 1291-1312.

213. Vijay Gupta, D. K. Verma and P. N. Agrawal, Simultaneous approximation by Certain Baskakov-Durrmeyer-Stancu Operators, J. Egyptian Math Soc. 20 (3) (2012), 183-187.

214. Vijay Gupta and R. Yadav, Some approximation results on q-Beta-Szasz operators, Southeast Asian Bulletin of Mathematics 36 (3) (2012), 343-352.

215. Sorin G. Gal and Vijay Gupta, Approximation by complex Beta operators of first kind in strips of compact disks, Med J. Math. 10 (1) (2013), 31-39 (Springer)

216. Vijay Gupta, Approximation properties by Bernstein-Durrmeyer type operators, Complex Analysis and Operator Theory 7(2013), 363-374. (Springer)

217. P. N. Agrawal, Vijay Gupta and Satish Kumar, On $q-$ analogue of Bernstein-Schurer-Stancu operators, Applied Mathematics and Computation 219 (14) (2013), 7754-7764.

218. Ali Aral and Vijay Gupta, On certain Baskakov Durrmeyer operators, Creative Math. Inform. 22(1) (2013), 1-8.

219. H. Karsli and V. Gupta, On convergence of q Chlodovsky type MKZD operators, Math. Vesnik, 65 (2) (2013), 187-196.

220. Vijay Gupta, Naokant Deo and X M Zeng, Simultaneous Approximation for Szasz-Mirakian-Stancu-Durrmeyer Operators, Analysis in Theory and Appl. 29(1) (2013), 1-11.

221. Vijay Gupta, A New Class of Durrmeyer operators, Advanced Studies in Contemperory Math. 23 (2) (2013), 219-224.

222. V. Gupta, P. N. Agrawal and D. K. Verma, A q-Analogue of modified Beta operators, Rocky Mountain J Math. 43( 3) (2013), 931-947.

223. Vijay Gupta and T. Kim, On the q analogue of Baskakov basis function, Russian J. Math. Physics 20 (3) (2013), 191-200. (Springer)

224. S. G. Gal and Vijay Gupta, Approximation by Complex Stancu Beta integral operators of second kind in semidisks, Rev. Anal. Numer. Theeor. Approx. 42 (1) (2013), 21-36.

225. Vijay Gupta, R. P. Agarwal and D. K. Verma, Approximation for a new sequence of summation-integral type operators, Advances in Mathematical Sciences and Applications 23 (1) (2013), 35-42.

226. Vijay Gupta, Combinations of integral operators, Appl. Math. Comput. 224 (2013), 876-881.

227. N. K. Govil, Vijay Gupta and D Soyabos, Certain New classes of Durrmeyer Type operators, Appl. Math. Comput. 225 (2013), 195-203.

228.Vijay Gupta, Convergence of Szasz Beta operators, Ann. Univ. Ferrara 59 (2013), 311-318.

229. Vijay Gupta and Rani Yadav, Approximation by complex summation-integral type operators in compact disks, Mathematica Slovaca 63 (5) (2013), 1025-1036.

230. X. M. Zeng, Vijay Gupta and O. Agratini, Rate of approximation by Bezier variant of the Baskakov-Kantorovich operators in case , Rocky Mountain J Math. 44 (1) (2014), 317-327.

231. Vijay Gupta and H. Karsli, Approximation for certain Durrmeyer-Stancu operators in compact disks, Southeast Asian Bulletin of Math. 38(3) (2014), 359-368.

232. Vijay Gupta, G. Tachev, Approximation by Szasz-Mirakyan Baskakov operators, J. Appl. Funct. Anal. 9 (3-4) (2014), 308-319.

233. Vijay Gupta, Stancu variant of Beta-Szasz operators, Georgian Math. J. 21 (1) (2014), 75-82.

234. Vijay Gupta and Themistocles M. Rassias, Lupas durmeyer operators based on Polya distribution, Banach J Math Anal. 8 (2) (2014), 146-155.

235. S. G. Gal, Vijay Gupta, Approximation by complex Szasz-Durrmeyer operators in compact disks, Acta Math. Sci. 34 B (4) (2014), 1157-1165.

236. S. G. Gal and Vijay Gupta, Approximation by complex Phillips-Stancu operators in compact disks under exponential growth, Applied Mathematics and Computation, 234 (2014), 309-315.

237. Vijay Gupta, Th. M. Rassias and Rani Yadav, Approximation by Lupas Beta integral operators, Applied Mathematics and Computation 236 (1) (2014), 19-26.

238. P. N. Agrawal, Vijay Gupta, A Sathish Kumar, A. Kajla, Generalized Baskakov Szasz type operators, Appl. Math. Comput. 236 (1) (2014), 311-324.

239. N. I. Mahmudov and Vijay Gupta, Approximation by complex q-Durrmeyer polynomials in compact disks, Acta Math Appl. Sinica 30 (1) (2014), 65-74.

240. Vijay Gupta, Complex Baskakov-Szasz operators in compact semi-disks, Lobachevskii J. Math. 35 (2) (2014), 65-73.

241. Vijay Gupta and Rani Yadav, On the approximation of certain integral operators, Acta Math Vietnamica 39 (2014), 193-203.

242. P. N. Agrawal, Vijay Gupta and A. Sathish Kumar, Generalized Baskakov-Durrmeyer type operators, Rend. Conti del Circolo Matematico di Palermo 63(2) (2014), 193-209.

243. Vijay Gupta and Danyal Sobayus, Approximation by complex genuine hybrid operators, Appl. Math. Computation 244 (2014), 526-532.

244. Daniel Cardenas-Morales and Vijay Gupta, Two families of Bernstein-Durrmeyer type operators, Appl. Math. Computation 248 (2014), 342-353.

245. Vijay Gupta and Gancho Tachev, Approximation by linear combinations of complex Phillips operators in compact disks, Results in Math. 66 (2014), 265-272.

246. Vijay Gupta and Th M Rassias, Direct Estimates for Certain Sz\'asz type operators, Applied Mathematics and Computation 251(2015), 469-474.

247. Vijay Gupta, Direct estimates for a new general family of Durrmeyer type operators, Bollettino dell'Unione Matematica Italiana 7 (2015), 279-288.

248. Vijay Gupta and N. Malik, Approximation for genuine summation-integral type operators, Appl. Math. Comput. 260 (2015), 321-330.

249. S. G. Gal, Vijay Gupta, Approximation by complex Szasz-Mirakyan-Stancu-Durrmeyer operators in compact disks under Exponential Growth, Filomat 29(5) (2015). Accepted.

250. T. Acar, A. Aral and Vijay Gupta, On approximation properties of a new type Bernstein-Durrmeyer operators, Mathematica Slovaca 65(4) (2015)

251. Vijay Gupta, Overconvergence of Complex Baskakov–Szász–Stancu Operators, Med J. Math. 12 (2015), 455-470.

252. S G Gal and Vijay Gupta, Complex form of a link operator between the Phillips and the Szasz-Mirakjan operators, Results in Math, Accepted.

253. Al Aral and Vijay Gupta, Direct estimates for Lupas Durrmeyer operators, Filomat, Accepted.

254. Vijay Gupta and Danyal Soybas, Convergence of integral operators based on different distributions, Filomat, Accepted.

255. A. Aral, E. Deniz and Vijay Gupta, On Modification of the Szasz-Durrmeyer Operators, Georgian Math. J. Accepted.

256. Vijay Gupta, Th M Rassias, Honey Sharma, q Durrmeyer operators based on Polya distribution, J. Nonlinear Sci. Appl., Accepted

257. S. G. Gal and Vijay Gupta, Approximation by complex Baskakov-Szasz-Durrmeyer operatiors in compact disks, Analysis in Theory and Applications, Accepted.

(ii) Books

1. Ali Aral, Vijay Gupta and Ravi P. Agarwal, Applications of q Calculus in Operator Theory, Springer 2013, XII, 262 p. ISBN 978-1-4614-6945-2

2. Vijay Gupta and Ravi P. Agarwal, Convergence Estimates in Approximation Theory, Springer 2014, ISBN 978-3-319-02765-4

(iii) Open Problems

1. Vijay Gupta, Recurrence relation for moments, Newsletter, European Math Soc. 91 (2014) pp 64.

2. Vijay Gupta, Identity for rising factorial, Newsletter, European Math. Soc. 91 (2014) pp 64.

3. Vijay Gupta, Solved and unsolved problems, European Math. Soc. Newsletter 92 (2015), pp. 61, Prob. 139.

4. Vijay Gupta, Solved and unsolved problems, European Math. Soc. Newsletter 92 (2015), pp. 61, Prob. 140.

(iv) Book Chapters

1. N. K. Govil and Vijay Gupta, Some approximation properties of integrated Bernstein operators, Advances in Mathematics Research, Vol. 11, 2009 Chapter 8. Nova Science Publishers, Inc. Editor: Albert R. Baswell [R] ISBN 978-1-60876-970-4.

2. Vijay Gupta and T. Shervashidze, Upper bound for Bernstein basis function, Prokhorov and Contemperory Probability Theory, In Honor of Yuri V. Prokhorov, Series: Springer Proceedings in Mathematics & Statistics, Vol. 33 Shiryaev, Albert N.; Varadhan, S. R. S.; Presman, Ernst L. (Eds.) 2013, XXXVIII, 446 p. Chapter 17.

3. N. K. Govil and Vijay Gupta, Simultaneous Approximation for Stancu Type Generalization of Certain Summation-Integral Type Operators, Analytic Number Theory, Approximation Theory and Special Functions, Eds. K. Alladi, G.V. Milovanovic and Michael Th. Rassias, Springer-Verlag 2014.

4. N. K. Govil and Vijay Gupta, Approximation properties of Phillips operators, Mathematics without Boundries: Surveys in Pure Mathematics, Eds.: Th. M. Rassias and Panos Pardalos, Springer-Verlag 2014, p.p. 221-243.

5. Sorin G. Gal and Vijay Gupta Approximation by complex Durrmeyer type operators in compact disks, Mathematics without Boundaries; Surveys in Interdisciplinary Research ed. P. Pardalos and T. M. Rassias Springer 2014, pp 263-285.

6. Vijay Gupta, Different Durrmeyer Variants of Baskakov Operators, Topics in Mathematical Analysis and Applications, Springer Optimization and Its Applications 94, T. Rassias and L. Tóth (eds.), © Springer International Publishing Switzerland 2014. DOI 10.1007/978-3-319-06554-0__17

7. N. K. Govil, Vijay Gupta and Danyal Soybas, Certain Szasz-Mirakyan Beta operators, Topics in Mathematical Analysis and Applications, Springer Optimization and Its Applications 94, T. Rassias and L. Tóth (eds.), © Springer International Publishing Switzerland 2014.

8. Vijay Gupta, Themistocles M. Rassias, Hypergeometric Representation of Certain Summation-Integral Operators, Topics in Mathematical Analysis and Applications, Springer Optimization and Its Applications 94, T. Rassias and L. Tóth (eds.), © Springer International Publishing Switzerland 2014. DOI 10.1007/978-3-319-06554-0_18

9. Vijay Gupta, On Approximation Properties of Szasz-Mirakyan Operators, Handbook on Functional Inequalities Series: Springer Optimization and Its Applications, Vol. 95, Rassias, Themistocles M. (Ed.) Springer-Verlag 2014.

10. Vijay Gupta, Approximation By Durrmeyer Type Operators Preserving Linear Functions, Computation, Cryptography and Network Security, Springer 2015 ed. Michael Th. Rassias and N. Daras

11. Vijay Gupta, Th M Rassias and J. Sinha, A survey on Durrmeyer operators, Contributions in Mathematics and Engineering, Springer 2015.

(v) Full PAPERS PUBLISHED IN PROCEEDINGS

1. M. Saleem, S. U. Siddiqui and Vijay Gupta, Young predation and time delays, Mathematical Modeling of Environmental and Ecological Systems, Elsevier Science Publishers B.V. (1987), 179-192.

2. Vijay Gupta and Ashok Sahai, Rate of convergence for Phillips operators of function of bounded variation, Proc. First Annual Conf. of Industrial and Applied Math., Roorkee 1993.

3. Vijay Gupta, Global simultaneous approximation by modified Beta operators, Proc of the 26th Annual Conf. Kerman, Iran (1995), 421-424.

4. G. S. Srivastava Vijay Gupta and A. Sahai, Saturation theorem for linear combinations of Phillips operators, Approx. Theory and its Appl., New Age International Ltd, Publ. (1996), 59-67.

5. A. Sahai and Vijay Gupta, Rate of convergence by Szasz Beta operators, Approx. Theory and its Appl., New Age International Ltd, Publ. (1996), 80-86.

6. Ulrich Abel, Vijay Gupta and Mircea Ivan, The complete asymptotic expansion for the Baskakov Kantorovitch operators, Proc. Tiberiu Popoviciu Itinerant Seminar of Functional Equations, Approximation and Convexity, Cluj Napoca, (2002) 3-14.

7. M. K. Gupta and Vijay Gupta, Direct results for a certain family of summation integral type operators, Proceedings of International Conference on Analysis and Applications, BHU Dec 22-25 (2003), Allied Publishers P Ltd, (2004), 127-139.