On Row Sequences of Pade and Hermite-Pade Approximation

被引：0
|
作者：
Lopez Lagomasino, G. [1 ]
机构：
[1] Univ Carlos III Madrid, Escuela Politecn Super, Dept Math, Univ 30, Leganes 28911, Spain
来源：
MODERN TRENDS IN CONSTRUCTIVE FUNCTION THEORY | 2016年 / 661卷
关键词：
ORTHOGONAL POLYNOMIALS; UNIT-CIRCLE; CONVERGENCE; MEROMORPHY; THEOREM;
D O I：
10.1090/conm/661/13279
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A survey of direct and inverse type results for row sequences of Pade and Hermite-Pade approximation is given. A conjecture is posed on an inverse type result for type II Hermite-Pade approximation when it is known that the sequence of common denominators of the approximating vector rational functions has a limit. Some inverse type results are proved for the so called incomplete Pade approximants which may lead to the proof of the conjecture and the connection is discussed.
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页码：141 / 151
页数：11
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