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.
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页码：517 / 529
页数：13
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