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Approximation Properties of a Fractional Integral-Type Szász–Kantorovich–Stancu–Schurer Operator via Charlier Polynomials

Author

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  • Nadeem Rao

    (Department of Mathematics, University Center for Research and Development, Chandigarh University, Mohali 140413, Punjab, India)

  • Mohammad Farid

    (Department of Mathematics, College of Science, Qassim University, Saudi Arabia)

  • Nand Kishor Jha

    (Department of Mathematics, Chandigarh University, Mohali 140413, Punjab, India)

Abstract

The goal of this manuscript is to introduce a new Stancu generalization of the modified Szász–Kantorovich operator connecting Riemann–Liouville fractional operators via Charlier polynomials. Further, some estimates are calculated as test functions and central moments. In the next section, we investigate some convergence analysis along with the rate of approximations. Moreover, we discuss the order of approximation of a higher-order modulus of smoothness with the help of some moments and establish some convergence results concerning Peetre’s K-functional, Lipschitz-type functions for a newly developed operator S K n + p , a v 1 , v 2 . We estimate some results related to Korovkin-, Voronovskaya-, and Grüss–Voronovskaya-type theorems.

Suggested Citation

  • Nadeem Rao & Mohammad Farid & Nand Kishor Jha, 2025. "Approximation Properties of a Fractional Integral-Type Szász–Kantorovich–Stancu–Schurer Operator via Charlier Polynomials," Mathematics, MDPI, vol. 13(18), pages 1-17, September.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:18:p:3039-:d:1754075
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