Bivariate Bernstein–Schurer–Stancu type GBS operators in ( p , q ) $(p,q)$ -analogue

Abstract

Abstract The purpose of this paper is to construct a ( p , q ) $(p,q)$ -analogue of Bernstein–Schurer–Stancu type GBS (generalized Boolean sum) operators for approximating B-continuous and B-differentiable functions. We also establish uniform convergence theorem and estimate the degree of approximation of B-continuous and B-differentiable functions.

Keywords

• ( p , q ) $(p,q)$ -integers
• Bernstein–Schurer–Stancu type operators
• GBS operators
• B-continuous functions
• B-differentiable functions
• Mixed modulus of continuity and smoothness