Convergence of Modification of the Kantorovich-Type q-Bernstein-Stancu-Schurer Operators

Abstract

In this paper, we introduce a new modification of Kantorovich-type Bernstein-Stancu-Schurer operators Kα, βn, p, q (f, x) based on the concept of q-integers. We establish a local approximation theorem, give a convergence theorem for the Lipschitz continuous functions and investigate statistical approximation properties. Finally, we give some illustrative graphics and some numerical examples for comparisons of the convergence of operators to some functions.