Convergence of λ-Bernstein operators based on (p, q)-integers

被引：15

作者：

Cai, Qing-Bo ^{[1
]}

Cheng, Wen-Tao ^{[2
]}

机构：

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

[2] Anqing Normal Univ, Sch Math & Computat Sci, Anqing, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2020年 / 2020卷 / 01期

基金：

中国国家自然科学基金;

关键词：

lambda-Bernstein operators; (p; q)-integers; Moduli of continuity; Rate of convergence; Lipschitz continuous functions; APPROXIMATION PROPERTIES; STATISTICAL APPROXIMATION; Q)-ANALOG;

D O I：

10.1186/s13660-020-2309-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we construct a new class of positive linear lambda-Bernstein operators based on (p, q)-integers. We obtain a Korovkin type approximation theorem, study the rate of convergence of these operators by using the conception of K-functional and moduli of continuity, and also give a convergence theorem for the Lipschitz continuous functions.

引用

页数：17

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