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

被引：31
|
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.
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页码：533 / 539
页数：7
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