Rate of Approximation of Blending Type Modified Univariate and Bivariate Λ-Schurer Operators

Abstract

In this work, we investigate some approximation properties of blending type univariate and bivariate SchurerKantorovich operators based on shape parameter lambda is an element of [-1, 1]. We evaluate some moment estimates and obtain several direct theorems. Next, we construct the bivariate version of proposed operators and compute rate of approximation with the partial and complete modulus of continuity. Moreover, we present certain graphical and numerical results for univariate and bivariate versions of these operators.