Chebyshev polynomials and best approximation of some classes of functions

被引：4

作者：

Eslahchi, Mohammad R. ^{[1
]}

Dehghan, Mehdi ^{[2
]}

Amani, Sanaz ^{[1
]}

机构：

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

[2] Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran, Iran

来源：

JOURNAL OF NUMERICAL MATHEMATICS | 2015年 / 23卷 / 01期

关键词：

Best polynomial approximation; alternating set; Chebyshev polynomials; uniform norm;

D O I：

10.1515/jnma-2015-0004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this research using properties of Chebyshev polynomials we explicitly determine the best uniform polynomial approximation of some classes of functions. In this way we present some new theorems about the best approximation of these classes.

引用

页码：41 / 50

页数：10

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