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

被引：50

作者：

Cai, Qing-Bo ^{[1
]}

Zhou, Guorong ^{[2
]}

机构：

[1] Quanzhon Normal Univ, Sch Math & Comp Sci, Quanzhou 362000, Peoples R China

[2] Xiamen Univ Technol, Sch Appl Math, Xiamen 361024, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 276卷

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

(p q)-integers; Bernstein-Stancu-Schurer operators; A-statistical convergence; Rate of convergence; Lipschitz continuous functions;

D O I：

10.1016/j.amc.2015.12.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：12 / 20

页数：9

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