ON NEWMAN-TYPE RATIONAL INTERPOLATION TO |x| AT THE CHEBYSHEV NODES OF THE SECOND KIND

被引：11
|
作者：
Laiyi Zhu and Zhaolin Dong (People’s University of China
机构：
来源：
Analysis in Theory and Applications | 2006年 / 03期
关键词：
Newman-type rational interpolation; zeros of the Chebyshev polynomial of the second kind; error of approximation;
D O I：
暂无
中图分类号：
O174.42 [插值论];
学科分类号：
070104 ;
摘要：
Recently Brutman and Passow considered Newman-type rational interpolation to |x| induced by arbitrary set of symmetric nodes in [-1,1] and gave the general estimation of the approximation error. By their methods one could establish the exact order of approximation for some special nodes. In the present paper we consider the special case where the interpolation nodes are the zeros of the Chebyshev polynomial of the second kind and prove that in this case the exact order of approximation is O(1/nlnn).
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页码：262 / 270
页数：9
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