A Generalization of Szász-Baskakov Operators by using the Appell Polynomials of Class A^(2)

Year 2024, Volume: 37 Issue: 4, 1918 - 1926, 01.12.2024

Kadir Kanat , Melek Sofyalıoğlu , Verda Karadaş

https://doi.org/10.35378/gujs.1391889

Cited By: 1

Abstract

In this paper, we obtain a generalization of the Szász-Baskakov operators with the help of A^((2)) class Appell polynomials. For every compact subset of [0,∞), the uniform convergence of these operators is provided. We also mention the convergence rate of our new operators and then we find some approximation results. The rate of convergence is obtained with the help of the Steklov function.

Keywords

Szász -Baskakov operators, A^((2)) class Appell polynomials, Modulus of continuity, Steklov function.

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