Approximation properties of Bezier-summation-integral type operators based on Polya-Bernstein functions

被引：36

作者：

Agrawal, P. N. ^{[1
]}

Ispir, Nurhayat ^{[2
]}

Kajla, Arun ^{[1
]}

机构：

[1] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttar Pradesh, India

[2] Gazi Univ, Dept Math, Fac Sci, TR-06500 Ankara, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 259卷

关键词：

Bezier operators; Summation integral type operators; Polya distribution; Rate of convergence; Bounded variation; CONVERGENCE; DERIVATIVES; POLYNOMIALS;

D O I：

10.1016/j.amc.2015.03.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we introduce the Bezier variant of summation integral type operators having Polya and Bernstein basis functions. We give a direct approximation theorem by means of the first order modulus of smoothness and the rate of convergence for absolutely continuous functions having a derivative equivalent to a function of bounded variation. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：533 / 539

页数：7

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