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.
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页码：93 / 102
页数：10
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