Weighted Approximation theorem for Choldowsky generalization of the q-Favard-Sz\'asz operators

TL;DR

This paper investigates the convergence properties of Choldowsky generalizations of q-Favard-Szász operators in weighted function spaces, introducing new tools for approximation error estimation.

Contribution

It provides a new weighted modulus of continuity and error bounds for the convergence analysis of these generalized operators.

Findings

Operators converge in weighted spaces

New weighted modulus of continuity developed

Error estimates improve understanding of approximation quality

Abstract

We study the convergence of these operators in a weighted space of functions on a positive semi-axis and estimate the approximation by using a new type of weighted modulus of continuity and error estimation.