Rational approximation of some limited smooth functions

被引：0

作者：

Zhan, Qian ^{[1
]}

Xu, Shusheng ^{[2
]}

机构：

[1] Anhui Univ Sci & Technol, Huainan 232001, Anhui, Peoples R China

[2] E China Univ Sci & Technol, Shanghai 200237, Peoples R China

来源：

OPTIK | 2016年 / 127卷 / 18期

关键词：

Limited smooth function; Rational approximation; Interpolation;

D O I：

10.1016/j.ijleo.2016.05.036

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

In this paper, Newman-type rational interpolation to some limited smooth functions induced by some set of nodes X in [-1, 1] is considered and the upper and lower bound of the order of approximation is given, which is sharper than Stahl's result. And the error estimation is Cn(-alpha 2/alpha+1) exp(-n(alpha/alpha+1)) <= vertical bar e(n)(X:x)vertical bar <= 3 exp(-n(alpha/alpha+1)). (C) 2016 Elsevier GmbH. All rights reserved.

引用

页码：7072 / 7076

页数：5

共 4 条

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[4] BEST UNIFORM RATIONAL APPROXIMATION OF X-ALPHA ON [0, 1]
STAHL, H
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 28 (01) : 116 - 122

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