The Bezier variant of a new type λ-Bernstein operators

被引：0

作者：

Lian, Bo-yong ^{[1
]}

Cai, Qing-bo ^{[2
]}

机构：

[1] Yang En Univ, Dept Math, Quanzhou, Peoples R China

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

来源：

2019 6TH INTERNATIONAL CONFERENCE ON INFORMATION SCIENCE AND CONTROL ENGINEERING (ICISCE 2019) | 2019年

基金：

中国国家自然科学基金;

关键词：

lambda-Bernstein operators; Modulus of continuity; Bounded function; CONVERGENCE; POLYNOMIALS;

D O I：

10.1109/ICISCE48695.2019.00126

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper we introduce the Bezier variant of a new type lambda-Bernstein operators based on parameter lambda is an element of [-1,1]. We establish a global approximation theorem in terms of second order modulus of continuity. We also obtain the approximation of this new type operators for the Lipschitz class functions. Furthermore, we give the rate of convergence for some absolutely continuous functions having a derivative equivalent to a bounded function.

引用

页码：605 / 609

页数：5

共 10 条

[1] Approximation properties of Lupas–Kantorovich operators based on Polya distribution [J].