Choldowsky type generalization of the q-Favard-Szasz operators

TL;DR

This paper introduces a Choldowsky type generalization of q-Favard-Szasz operators, analyzing their approximation properties and convergence rates using various mathematical tools.

Contribution

It presents a new generalization of q-Favard-Szasz operators and studies their statistical approximation and convergence properties.

Findings

Established weighted statistical approximation properties.

Derived rates of statistical convergence via modulus of continuity.

Analyzed local approximation properties of the operators.

Abstract

In the present paper, we introduce a Choldowsky type generalization of the q Favard-Szasz operators and obtain weighted statistical approximation properties of these operators. We also establish the rates of statistical convergence by means of the modulus of continuity and the Lipschitz type maximal function. Further, we study the local approximation properties of these operators.