Convergence Properties of a Kantorovich Type of Szász Operators Involving Negative Order Genocchi Polynomials

Year 2023, Volume: 10 Issue: 2, 196 - 205, 27.06.2023

Erkan Ağyüz

https://doi.org/10.54287/gujsa.1282992

Abstract

The goal of this research is to construct a generalization of a Kantorovich type of Szász operators involving negative-order Genocchi polynomials. With the aid of Korovkin’s theorem, modulus of continuity, Lipschitz class, and Peetre’s K-functional the approximation properties and convergence rate of these operators are established. To illustrate how operators converge to a certain function, we present some examples.

Keywords

Generating Functions, KorovkinType Approximation, Modulus of Continuity, Genocchi Polynomials

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