Direct and Inverse Results on Row Sequences of Hermite-Pad, Approximants

被引：15

作者：

Cacoq, J. ^{[1
]}

de la Calle Ysern, B. ^{[2
]}

Lopez Lagomasino, G. ^{[1
]}

机构：

[1] Univ Carlos III Madrid, Escuela Politecn Super, Dpto Matemat, Leganes 28911, Spain

[2] Univ Politecn Madrid, Dpto Matemat Aplicada, ETS Ingenieros Ind, E-28006 Madrid, Spain

来源：

CONSTRUCTIVE APPROXIMATION | 2013年 / 38卷 / 01期

关键词：

Montessus de Ballore theorem; Simultaneous approximation; Hermite-Pade approximation; Rate of convergence; Inverse results; CONVERGENCE; THEOREM;

D O I：

10.1007/s00365-013-9188-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give necessary and sufficient conditions for the convergence with geometric rate of the common denominators of simultaneous rational interpolants with a bounded number of poles. The conditions are expressed in terms of intrinsic properties of the system of functions used to build the approximants. Exact rates of convergence for these denominators and the simultaneous rational approximants are provided.

引用

页码：133 / 160

页数：28

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