POLYNOMIALS OF THE BEST UNIFORM APPROXIMATION TO SGN(x) ON TWO INTERVALS

被引：10

作者：

Eremenko, Alexandre ^{[1
]}

Yuditskii, Peter ^{[2
]}

机构：

[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

[2] Johannes Kepler Univ Linz, Abt Dynam Syst & Approximat Theorie, A-4040 Linz, Austria

来源：

JOURNAL D ANALYSE MATHEMATIQUE | 2011年 / 114卷

基金：

奥地利科学基金会; 美国国家科学基金会;

关键词：

D O I：

10.1007/s11854-011-0018-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe polynomials of best uniform approximation to sgn(x) on the union of two intervals [-A, -1]. [1, B] in terms of special conformal mappings. This permits us to find the exact asymptotic behavior of the error in this approximation.

引用

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页码：285 / 315

页数：31

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