Generalized Bivariate Baskakov Durrmeyer Operators and associated GBS operators

Abstract

In the present research article, we construct a new sequence of Generalized Bivariate Baskakov Durrmeyer Operators. We investigate rate of convergence and the order of approximation with the aid of  modulus of continuity in terms of well known Peetre's K-functional, Voronovskaja type theorems and Lipschitz maximal functions. Further, graphical analysis is discussed. Moreover, we study the approximation properties of the operators in B\"{o}gel-spaces with the  aid of mixed-modulus of continuity.