Dr. POOJA GUPTA

@jcboseust.ac.in

Assistant Professor, Mathematics
J.C.Bose University of Science and Technology, YMCA, Faridabad

Dr. POOJA GUPTA


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https://researchid.co/pooja17

RESEARCH INTERESTS

Approximation Theory
10

Scopus Publications

Scopus Publications

  • Convergence of Durrmeyer-Type Sampling Operators with Respect to Admissible Measures
    Pooja Gupta, Shivam Bajpeyi
    Mediterranean Journal of Mathematics, 2026
  • Convergence of Generalized Szász–Mirakjan–Kantorovich Operators on Different Function Spaces
    Advances in Mathematics Theory Methods and Applications, 2025
  • Image of polynomials under generalized Szász operators
    Pooja Gupta, Mangey Ram, Ramu Dubey
    Applied Mathematics, 2021
  • Special class of G-Wolfe type fractional symmetric duality theorems under G-pseodoinvexity assumptions
    Ramu Dubey, Arvind Kumar, Pooja Gupta, Shubham Jayswal, Vishnu Narayan Mishra
    Journal of Physics Conference Series, 2021
    In this article, a pair of G-Wolfe-type fractional programming problems is formulated. For a differentiable function, we consider the definitions of G-invexity/G-psedoinvexity, which extends some kinds of generalized convexity assumptions. In the next section, we prove the weak, strong and converse duality theorems under G-invexity/G-psedoinvexity assumptions.
  • Jakimovski-Leviatan operators of Kantorovich type involving multiple Appell polynomials
    Pooja Gupta, Ana Maria Acu, Purshottam Narain Agrawal
    Georgian Mathematical Journal, 2021
    The purpose of the present paper is to obtain the degree of approximation in terms of a Lipschitz type maximal function for the Kantorovich type modification of Jakimovski–Leviatan operators based on multiple Appell polynomials. Also, we study the rate of approximation of these operators in a weighted space of polynomial growth and for functions having a derivative of bounded variation. A Voronvskaja type theorem is obtained. Further, we illustrate the convergence of these operators for certain functions through tables and figures using the Maple algorithm and, by a numerical example, we show that our Kantorovich type operator involving multiple Appell polynomials yields a better rate of convergence than the Durrmeyer type Jakimovski Leviatan operators based on Appell polynomials introduced by Karaisa (2016).
  • Generalization of Szász–Mirakjan–Kantorovich operators using multiple Appell polynomials
    Chetan Swarup, Pooja Gupta, Ramu Dubey, Vishnu Narayan Mishra
    Journal of Inequalities and Applications, 2020
    The purpose of the present paper is to introduce and study a sequence of positive linear operators defined on suitable spaces of measurable functions on [ 0 , ∞ ) $[0,\\infty )$ and continuous function spaces with polynomial weights. These operators are Kantorovich type generalization of Jakimovski–Leviatan operators based on multiple Appell polynomials. Using these operators, we approximate suitable measurable functions by knowing their mean values on a sequence of subintervals of [ 0 , ∞ ) $[0,\\infty )$ that do not constitute a subdivision of it. We also discuss the rate of convergence of these operators using moduli of smoothness.
  • Quantitative Voronovskaja and Grüss Voronovskaja-Type Theorems for Operators of Kantorovich Type Involving Multiple Appell Polynomials
    Pooja Gupta, P. N. Agrawal
    Iranian Journal of Science and Technology Transaction A Science, 2019
  • q- Lupas Kantorovich operators based on Polya distribution
    P. N. Agrawal, Pooja Gupta
    Annali Dell Universita Di Ferrara, 2018
  • Jakimovski-Leviatan operators of Durrmeyer type involving Appell polynomials
    Pooja Gupta, P. Agrawal
    Turkish Journal of Mathematics, 2018
    The purpose of the present paper is to establish the rate of convergence for a Lipschitz-type space and obtain the degree of approximation in terms of Lipschitz-type maximal function for the Durrmeyer type modification of Jakimovski–Leviatan operators based on Appell polynomials. We also study the rate of approximation of these operators in a weighted space of polynomial growth and for functions having a derivative of bounded variation.
  • Rate of convergence of SzÆsz-beta operators based on q-integers
    Pooja Gupta, Purshottam Narain Agrawal
    Demonstratio Mathematica, 2017
    The purpose of this paper is to establish the rate of convergence in terms of the weighted modulus of continuity and Lipschitz type maximal function for the q-Szász-beta operators. We also study the rate of A-statistical convergence. Lastly, we modify these operators using King type approach to obtain better approximation.