Some Selected Research Publications

  1. On the Summability of a Class of Fourier Series, The Mathematics Student 31 (1963), 7-12.
  2. A Note on the Gibb's Phenomenon for the (^) Means of Fourier Series, Indian Journal of Mathamtics 5 (1964), 37-40.
  3. On the Summability of a Class of the Derived Conjugate Series of a Fourier Series, Canadian Mathematical Bulletin 8 (1965), 637-645.
  4. On the Strong Summability by Triangular Means of the Derived Fourier Series and its conjugate series, Canadian Mathematical Bulletin 9 (1966), 646-656.
  5. On the summability of a class of the derived Fourier series, Canadian Mathematical Bulletin 10 (1967), 79-84.
  6. On the Enestrom-Kakeya Theorem, Tohoku Mathematical Journal 20 (1968), 126-136 (with Q. I. Rahman).
  7. Functions of Exponential Type not Vanishing in a Half-Plane and Related Polynomials, Transactions of the American Mathematical Society 137 (1969), 501-517 (with Q.I. Rahman).
  8. On the Derivative of a Polynomial, Proceedings of the American Mathematical Society 41 (1973), 543-546.
  9. Inequalities for Polynomials Satisfying p(z)=z^n p(1/z), Proceedings of the American Mathematical Society 57 (1976), 238-242 (with V.K. Jain and G. Labelle).
  10. Remark on Matrix Transform of Trigonometric Series, Indian Journal of Mathematics 9 (1977), 225-229.
  11. An Inequality for Functions of Exponential Type Not Vanishing in a Half-Plane, Proceedings of the American Mathematical Society 65 (1977), 225-229.
  12. On the Enestrom-Kakeya Theorem II, Journal of Approximation Theory 22 (1978), 1-10 (with V. K. Jain).
  13. On the Location of Zeros of a Polynomial, Journal of Approximation Theory 24 (1978), 78-82, (with B. Datt).
  14. On the derivative of a polynomial, Illinois Journal of Mathematics 23 (1979), 319-329 (with Q. I. Rahman and G. Schmeisser.)
  15. On a Sequence of Fourier Coefficients, Indian Journal of Mathematics 22 (1980), 177-183 (with B.N. Sahney)
  16. An Inequality for Self-Inversive Polynomials, Journal of Mathematical Analysis and Applications 95 (1983), 490. (with K. K. Dewan).
  17. An Inequality for the Derivative of Self-Inversive Polynomials, Bulletin of the Australian Mathematical Society 27 (1983), 403-406 (with K. K. Dewan).
  18. Some Integral Inequalities for Polynomials, Indian Journal of Pure and Applied Mathematics 14 (1983), 440-443 (with K.K. Dewan).
  19. On Enestrom-Kakeya theorem, Journal of Approximation Theory 42 (1984), 239-244 (with K. K. Dewan).
  20. On the Maximum Modulus of Polynomials, Journal of Mathematical Analysis and Applications 112 (1985), 253-258.
  21. On Bernstein's Inequality, Journal of Mathematical Analysis and Applications 126 (1987), 494-500 (with G. Labelle).
  22. On the Maximum Modulus of Polynomials not Vanishing inside the Unit Circle, Approximation Theory & its Applications 5 (1989), 79-82.
  23. Inequalities for the Derivative of a polynomial, Journal of Approximation Theory 63 (1990), 65-71.
  24. Some inequalities for Derivatives of polynomials, Journal of Approximation Theory 66 (1991), 29-35.
  25. Some Inequalities for Maximum Modulus of Polynomials, International Journal of Mathematics and Mathematical Sciences 14 (1991), 233-238.
  26. The Lie Theory for Hypergeometric Functions, Journal of Mathematical Analysis and its Applications 171 (1992), 171-204 (with H. L. Manocha).
  27. Inequalites Concerning the L^p-norm of a polynomial and its Derivative, Journal of Mathematical Analysis and Applications 179 (1993), 208-213 (with Robert B. Gardner).
  28. On Tensor Product of Finite Dimensional Irreducible Representations of sl(2,C) , International Journal of Mathematical and Statistical Sciences 2 (1993), 74-90 (with H. L. Manocha).
  29. On Polynomials with a Prescribed Zero, Journal of Mathematical Analysis and Applications 181 (1994), 282-284 (with K.K. Dewan).
  30. On the Location of the Zeros of a Polynomial, Journal of Approximation Theory 78 (1994), 286-292 (with Robert B. Gardner).
  31. Some Inequalities for Entire Functions of Exponential Type, Proceedings of the American Mathematical Society 123 (1995), 2757-2761 (with Robert B. Gardner).
  32. An Lp Inequality for a Polynomial and its Derivative, Journal of Mathematical Analysis and Applications 194 (1995), 720-726 (with Robert B. Gardner).
  33. Inequalities for Polynomials Satisfying p(z)=z^n p(1/z), Complex Variables 31 (1996), 185-191 (with D.H. Vetterlein)
  34. Some Inequalities for Polynomials Satisfying p(z) = z^n p(1/z), Approximation Theory and its Applications 12 (1996), 40-44 (with Braham Datt).
  35. Some Generalizations of the Enestrom-Kakeya Theorem, Acta Mathematica Hungarica 74 (1997), 125-134 (with Robert B. Gardner).
  36. Perturbations of the Haar Wavelet, Proceedings of the American Mathematical Society 125 (1997), 3363-3370 (with R. A. Zalik).
  37. On Maximum Modulus of Polynomials Satisfying $p(z) \equiv z^np(1/z)$, East Journal on Approximations 3 (1997), 111-115.
  38. An Inequality for Self-Inversive Polynomials, Glasnik Matematicki 32 (52) (1997), 213-215.
  39. Functions of Exponential Type Not Vanishing in a Half-Plane, Analysis 17 (1997), 395-402 (with Robert B. Gardner).
  40. Bernstein Type Inequalities for Rational Functions with Prescribed Poles, Recent Progress in Inequalities (G. V. Milovanovic, Editor), 249-270, Kluwer Academic Publishers, The Netherlands (1998) (with Ram N. Mohapatra).
  41. Inequalities for Maximum Modulus of Rational Functions with Prescribed Poles, Approximation Theory: In Memory of A. K. Varma (N. K. Govil, R. N. Mohapatra, Z. Nashed, A. Sharma and J. Szabados, Editors), 255-263, Marcel Dekker, Inc., New York (1998) (with R. N. Mohapatra).
  42. Markov and Bernstein Type Inequalities for Polynomials, Journal of Inequalities and Applications 3 (1999), 349-387 (with R. N. Mohapatra).
  43. Degree of Convergence for a Class of Linear Operators, Analytic and Geometric Inequalities & Applications (Th. M. Rassias and H. M.Srivastava, Editors) 135-150, Kluwer Academic Publishers, The Netherland (1999) (with R. N. Mohapatra).
  44. On a Theorem of Ankeny and Rivlin Concerning the Maximum Modulus of Polynomials, Complex Variables 40 (2000), 249-259.
  45. L^p Inequalities for Polar Derivatives of Polynomials, Mathematical Inequalities and Applications 3 (2000) (with Griffith Nyuydinkong).
  46. Some L^p Inequalities for Polar Derivative of a Polynomial, Journal of Mathematical Analysis and Applications 254 (2001), 618-626 (with Griffith Nyuydinkong and B. Tameru).
  47. On the Maximum Modulus of Polynomials Not Vanishing inside a Circle, Journal of Interdiscilinary Mathematics 4 (2001), 93-100 (with Griffith Nyuydinkong).
  48. On Maximum Modulus of Polynomials and Related Entire Functions with Restricted Zeros, Mathematical Inequalities and Applications 5 (2002), 57-60 (with M.A. Qazi).
  49. On Growth of Polynomials, Journal of Inequalities and Applications 7 (2002), 623-631.
  50. Some Extensions of Enestrom-Kakeya Theorem, International Journal of Applied Mathematics 11 (2002), 245-253 (with G.N. McTune).
  51. L^p Inequalities for Entire Functions of Exponential Type, Mathematical Inequalities and Applications 6 (2003), 445-452.
  52. Inequalities Describing the Growth of Polynomials Not Vanishing in a Disk of Prescribed Radius, Mathematical Inequalities and Applications 6 (2003), 453-467 (with M.A. Qazi and Q.I. Rahman).
  53. A New Property of Entire Functions of Exponential Type Not Vanishing in a Half-Plane and Applications, Complex Variables 48 (2003), 897-908 (with M.A. Qazi and Q.I. Rahman).
  54. Some Generalizations Involving the Polar Derivative for an Inequality of Paul Turan, Acta Mathematica Hungarica 104 (2004), 115-126 (with G.N. McTume).
  55. Growth of Polynomials Not Vanishing Inside a Circle, International Journal of Pure and Applied Mathematics 13 (2004), 491-498 (with Robert B. Gardner and A. Weemes).
  56. Some Results Concerning Rate of Growth of Polynomial, East Journal on Approximations 10 (2004), 1-12 (with Robert B. Gardner and A. Weemes).
  57. Rate of Growth of Polynomials Not Vanishing Inside a Circle, Journal of Inequalities in Pure and Applied Mathematics, 6 (2005), 1-9 (with Robert B. Gardner and S.N. Musukula).
  58. On the Derivative and Maximum Modulus of a Polynomial, Journal of Inequalities and Applications 2006 (2006), 1-6 (with K. K. Dewan, A. Mir and M. S. Pukhta).
  59. Simultaneous Approximation for the Bezier Variant Baskakov Beta Operators, Mathematical and Computer Modelling 44 (2006), 1153-1159 (with Vijay Gupta).
  60. Simultaneous Approximations for the Phillps Operators, International Journal of Mathematics and Mathematical Sciences 2006 (2006), 1-9 (with Vijay Gupta and M.A. Noor).
  61. Rate of Convegence for Baskakov Operators on Functions of Bounded Variation, Journal of Combinatorics, Information and System Sciences, 31 (2006), 1-17 (with Vijay Gupta).
  62. Interpolation by Polynomials and Transcendental Entire Functions, Frontiers in Interpolation and Approximation: (Dedicated to the Memory of Ambikeshwar Sharma), 173-211, Chapman & Hall/CRC Press, Taylor & Francis Group (2007) (with M. A. Qazi, and Q. I. Rahman).
  63. Some Results on Modified Sz\'asz-Mirakjan Operators, Journal of Mathematical Analysis and Applications 327 (2007), 1284-1296. (with Z. Finta and Vijay Gupta).
  64. Direct Estimates in Simultaneous Approximation for Durrmeyer Type Operators, Mathematical Inequalities and Applications 10 (2007), 371-379 (with Vijay Gupta).
  65. Convergence Rate for Generalized Baskakov Type Operators, Journal of Nonlinear Analysis, 69 (2008), 3795-3801 (with Vijay Gupta).
  66. An inequality for entire functions of exponential type satisfying $f(z)\eqiv e^{i \gamma}e^{i\tau z}\bar{f(\bar{z})}, Acta Mathematica Hungarica 119 (2008), 189-196 (with M. A. Qazi).
  67. Location of Zeros of Polynomials, Mathematical and Computer Modelling 50 (2009), 306-313 (with Chadia Affane-Aji and Neha Agarwal).
  68. Convergence of q-Meyer-Konig-Zeller-Durrmeyer Operators, Advanced Studies in Contemporary Mathematics 19 (2009), 97-108 (with Vijay Gupta).
  69. Some Approximation Properties of Integrated Bernstein Operators, Advances in Mathematical Research 11 (2009), 1-15, Nova Science Publishers, NY (with Vijay Gupta).
  70. Inequalities for Self-Reciprocal Polynomials and Uniformly Almost Periodic Functions, Journal of Concrete and Applicable Mathematics 8 (2010), 216-235 (with Q. M. Tariq).
  71. On Annuli Containing All the Zeros of a Polynomial, Mathematical and Computer Modelling 52 (2010), 1532-1537 (with Chadia Affane-Aji and Saad Biaz).
  72. Some Inequalities Concening Derivative and Maximum Modulus of Polynomials, Australian Journal of Mathematical Analysis and Applications 8 (2011), 1-8 (with A. Liman and W. M. Shah).
  73. q-Beta-Szasz-Stancu Operators, Advanced Studies in Contemporary Mathematics 22 (2012), 117-123 (with Vijay Gupta).
  74. On the Regions Containing All the Zeros of a Polynomial, Nonlinear Analysis: Stability, Approximation and Inequalities, Edited by P.G. Georgiev, P. Pardalos, and H.M.Srivastava, Springer Optimization and Its Applications 68 (2012), 39-55 (with Chadia Affane-Aji).
  75. Rate of Approximation for Szasz-Mirakyan-Stancu-Durrmeyer Operators, Lobachevskii Journal of Mathematics 33 (2012), 249-254 (with Vijay Gupta).
  76. Some Inequalities for Laurent Polynomials, Bulletin of the Polish Academy of Sciences Mathematics 60 (2012), 241-247 (with M. A. Qazi and Q. I. Rahman)
  77. Simultaneous Approximation for stancu Type Generalizations of Certain Summation-Integral Operators, accepted for publication in Analytic Number Theory, Approximation Theory and Special Functions (K. Alladi, G.V. Milovanovic and Michael Th. Rassias, Editors), book chapter to be published by Springer in 2013 (with Vijay Gupta).
  78. On Region Containing all the Zeros of a Polynomial, Applied Mathematics & Computation 219 (2013), 9609-9614 (with Aseem Dalal).
  79. Approximation Properties of Phillips Operators, accepted for publication in Mathematics without Boundaries: Essays in Pure Mathematics (Panos Pardalos and Th. M. Rassias, Editors), a special volume to be published by Springer in 2013 (with Vijay Gupta).
  80. On Certain Szasz-Mirakyan-Beta Operators, to appear in Topics in Mathematical Analysis and Applications (Th. M. Rassias and Laszlo Toth, Editors), a special volume to be published by Springer in 2014 (with Vijay Gupta and D. Soybas).
  81. On Extremal Problems in Polynomials and Entire Functions, to appear in Handbook of Functional Equations and Functional Inequalities (Th. M. Rassias, Editor), to be published by Springer in 2014 (with Q. M. Tariq).
  82. New classes of Durrmeyer Type Operators, accepted for publication in Applied Mathematics and Compuation (with Vijay Gupta and D. Soybas).
  83. Enestrom-Kakeya Theorem and Some of its Generalizations, submitted to Current Topics in Pure and Computational Complex Analysis (Santosh Joshi, Michael Dorff and Indrajit Lahiri, Editors), to be published by Springer in 2014 (with Robert B. Gardner)