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

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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.

论文关键词:(p q)-integers,Bernstein–Stancu–Schurer operators,A-statistical convergence,Rate of convergence,Lipschitz continuous functions

论文评审过程:Received 10 September 2015, Revised 24 November 2015, Accepted 5 December 2015, Available online 24 December 2015, Version of Record 24 December 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.12.006