Approximation Properties of bivariate Szasz Durrmeyer operators via Dunkl Analogue

Abstract

In the present article, we construct a new sequence of bivariate Szasz-Durrmeyer operators
based on Dunkl analogue. We investigate the rate of convergence and the order of approximation
with the aid of modulus of continuity in terms of well known Peetre's K-functional,
weighted approximation results, Voronovskaja type theorems and Lipschitz maximal functions.
Further, we also discuss here the approximation properties of the operators in Bogel-spaces by
use of mixed-modulus of continuity