Approximation on bivariate parametric-extension of Baskakov-Durrmeyer-operators

Abstract

The main purpose of this article is to study the bivariate approximation generalization for Baskakov-Durrmeyer-operators via aid of non-negative parametric variants suppose $0\leq \alpha_1,\alpha_2\leq 1$ . We obtain the order of approximation by use of modulus of continuity in terms of well known Peetre's K-functional, 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.