The Best Uniform Polynomial Approximation of Two Classes of Rational Functions

被引：3

作者：

Eslahchi, M. R. ^{[1
]}

Amani, Sanaz ^{[1
]}

机构：

[1] Tarbiat Modares Univ, Fac Math Sci, Dept Appl Math, POB 14115 134, Tehran, Iran

来源：

IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS | 2012年 / 7卷 / 02期

关键词：

Best polynomial approximation; Alternating set; Shifted Chebyshev polynomials; Uniform norm;

D O I：

10.7508/ijmsi.2012.02.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we obtain the explicit form of the best uniform polynomial approximations out of P-n of two classes of rational functions using properties of Chebyshev polynomials. In this way we present some new theorems and lemmas. Some examples will be given to support the theoretical results.

引用

页码：93 / 102

页数：10

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