On the Convergence of Multi-Level Hermite–Padé Approximants for a Class of Meromorphic Functions

被引：0
|
作者：
L. G. Ricardo González
G. López Lagomasino
S. Medina Peralta
机构：
[1] Universidad Carlos III de Madrid,Department of Mathematics
[2] Florida International University,Department of Mathematics and Statistics
来源：
Mediterranean Journal of Mathematics | 2020年 / 17卷
关键词：
Nikishin system; Multiple orthogonal polynomials; Hermite–Padé approximation; Primary 30E10; 41A21; Secondary 42C05;
D O I：
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摘要：
The present paper deals with the convergence properties of multi-level Hermite–Padé approximants for a class of meromorphic functions given by rational perturbations with real coefficients of a Nikishin system of functions, and study the zero location of the corresponding multiple orthogonal polynomials.
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