Pointwise approximation by Bernstein type operators in mobile interval

被引：14
|
作者：
Jung, Hee Sun [1 ]
Deo, Naokant [2 ,3 ]
Dhamija, Minakshi [2 ,3 ]
机构：
[1] Sungkyunkwan Univ, Dept Math Educ, Seoul 110745, South Korea
[2] Delhi Technol Univ, Dept Appl Math, Delhi 110042, India
[3] Delhi Coll Engn, Delhi 110042, India
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 244卷
关键词：
Bernstein operators; Pointwise approximation; Rate of convergence;
D O I：
10.1016/j.amc.2014.07.034
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, we study pointwise approximation by Bernstein-Durrmeyer type operators in the mobile interval x is an element of [0, 1 - 1/n+1], with use of Peetre's K-functional and omega(2)(phi),(f,t) (0 <= lambda <= 1), we give its properties and obtain the direct and inverse theorems for these operators. (C) 2014 Elsevier Inc. All rights reserved.
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页码：683 / 694
页数：12
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