Bivariate tensor product ( p , q ) $(p, q)$ -analogue of Kantorovich-type Bernstein-Stancu-Schurer operators

Abstract

Abstract In this paper, we construct a bivariate tensor product generalization of Kantorovich-type Bernstein-Stancu-Schurer operators based on the concept of ( p , q ) $(p, q)$ -integers. We obtain moments and central moments of these operators, give the rate of convergence by using the complete modulus of continuity for the bivariate case and estimate a convergence theorem for the Lipschitz continuous functions. We also give some graphs and numerical examples to illustrate the convergence properties of these operators to certain functions.

Keywords

• ( p , q ) $(p, q)$ -integers
• Bernstein-Stancu-Schurer operators
• modulus of continuity
• Lipschitz continuous functions
• bivariate tensor product