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

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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