Hermite-Fejer interpolation for rational systems

被引：0

作者：

Min, G ^{[1
]}

机构：

[1] Simon Fraser Univ, Dept Math & Stat, Ctr Expt & Construct Math, Burnaby, BC V5A 1S6, Canada

来源：

CONSTRUCTIVE APPROXIMATION | 1998年 / 14卷 / 04期

关键词：

Hermite-Fejer interpolation; Grunwald interpolation; rational system; uniform approximation; mean convergence;

D O I：

10.1007/s003659900088

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper considers Hermite-Fejer and Grunwald interpolation based on the zeros of the Chebyshev polynomials for the real rational system P-n(a(1),..., a(n)) with the nonreal poles in (ak)(k=1)(n) subset of C\[-1, 1] paired by complex conjugation. This extends some well-known results of Fejer and Grunwald for the classical polynomial case.

引用

页码：517 / 529

页数：13

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