The third and fourth kinds of Chebyshev polynomials and best uniform approximation

被引：23

作者：

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

Dehghan, Mehdi ^{[2
]}

Amani, Sanaz ^{[1
]}

机构：

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

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

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2012年 / 55卷 / 5-6期

关键词：

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

D O I：

10.1016/j.mcm.2011.11.023

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this study, using the properties of third and fourth kinds of Chebyshev polynomials, we explicitly determine the best uniform polynomial approximation out of P-n to classes of functions that are obtained from their generating function and their derivatives. Efficiency of these polynomials is demonstrated by some examples. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1746 / 1762

页数：17

共 6 条

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Dehghan, Mehdi
Eslahchi, M. R.
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Eslahchi, M. R.
Dehghan, Mehdi
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (3-4) : 740 - 750
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