GBS Operators of Lupaş–Durrmeyer Type Based on Polya Distribution

Abstract

In this paper, we study an extension of the bivariate Lupas–Durrmeyer operators based on Polya distribution. For these operators we get a Voronovskaja type theorem and the order of approximation using Peetre’s K-functional. Then, we construct the Generalized Boolean Sum operators of Lupas–Durrmeyer type and estimate the degree of approximation in terms of the mixed modulus of smoothness.