Approximation by q‐Post‐Widder Operators Based on a New Parameter

Abstract

The purpose of this paper is to introduce q‐Post–Widder operators based on a new parameter and study their approximation properties. The moments and central moments are investigated. And some local approximation properties of these operators by means of modulus of continuity and Peetre’s K‐functional are presented. Furthermore, the rate of convergence for these operators is obtained. Weighted approximation and the quantitative q‐Voronovskaja type theorem are discussed. Finally, numerical illustrative examples have been given to show the convergence of these newly defined operators.