Voronovskaja's theorem revisited

被引：17
|
作者：
Tachev, Gancho T. [1 ]
机构：
[1] Univ Architecture Civil Engn & Geodesy, Dept Math, BG-1046 Sofia, Bulgaria
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 343卷 / 01期
关键词：
degree of approximation; moduli of continuity omega(f; averaged moduli; Ditzian-Totik moduli; Bernstein operator; Voronovskaja's theorem;
D O I：
10.1016/j.jmaa.2008.01.085
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We represent a new quantitative variant of Voronovskaja's theorem for Bernstein operator. This estimate improves the recent quantitative versions of Voronovskaja's theorem for certain Bernstein-type operators, obtained by H. Gonska, P. Pitul and I. Rasa in 2006. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：399 / 404
页数：6
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