On (p, q)-analogue of Kantorovich type Bernstein-Stancu-Schurer operators

摘要

In this paper, we introduce a new kind of Kantorovich-type Bernstein-Stancu-Schurer operators based on the concept of (p, q)-integers. We investigate statistical approximation properties and establish a local approximation theorem, we also give a convergence theorem for the Lipschitz continuous functions. Finally, we give some graphics and numerical examples to illustrate the convergence properties of operators to some functions. (C) 2015 Elsevier Inc. All rights reserved.