Szász–Gamma Operators Based on Dunkl Analogue

Abstract

In this article, we introduce Szasz–Gamma operators based on Dunkl analogue. We discuss basic approximation results in terms of the classical Korovkin theorem and modulus of continuity. For our operators, we investigate local approximation results by means of Peetre’s K-functional, second order modulus of smoothness, the Lipschitz class and the Lipschitz maximal function. Next, we present weighted approximation theorems by means of a Korovkin type theorem and weighted modulus of continuity. Lastly, A-Statistical approximation result and rate of convergence for functions with derivative of bounded variation are also studied.