A converse of asymptotic formulae in simultaneous approximation

被引：6
|
作者：
Garrancho, P. [1 ]
Cardenas-Morales, D. [1 ]
机构：
[1] Univ Jaen, Dept Matemat, Jaen 23071, Spain
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 06期
关键词：
Asymptotic formula; Shape preserving approximation; Simultaneous approximation; Saturation;
D O I：
10.1016/j.amc.2010.08.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the general setting of simultaneous approximation by sequences of linear shape preserving operators, this paper contains a sort of converse result of Voronovskaya-type asymptotic formulae. As a by-product a saturation result is derived. Applications to some very well-known approximation processes are also presented. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：2676 / 2683
页数：8
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