Direct and Inverse Results on Row Sequences of Hermite–Padé Approximants

被引：0
|
作者：
J. Cacoq
B. de la Calle Ysern
G. López Lagomasino
机构：
[1] Universidad Carlos III de Madrid,Dpto. de Matemáticas, Escuela Politécnica Superior
[2] Universidad Politécnica de Madrid,Dpto. de Matemática Aplicada, E. T. S. de Ingenieros Industriales
来源：
Constructive Approximation | 2013年 / 38卷
关键词：
Montessus de Ballore theorem; Simultaneous approximation; Hermite–Padé approximation; Rate of convergence; Inverse results; 30E10; 41A21; 41A28; 41A25; 41A27;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：133 / 160
页数：27
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