On exact rate of convergence of row sequences of multipoint Hermite-Padé approximants

In this article, we analyze a rate of attraction of poles of an approximated function to poles of incomplete multipoint Padé approximants and use it to derive a sharp bound on the geometric rate of convergence of multipoint Hermite-Padé approximants to a vector of approximated functions in the Monte...

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Bibliographic Details

Published in:	Demonstratio Mathematica
Main Author:	Bosuwan Nattapong
Format:	Article
Language:	English
Published:	De Gruyter 2024-02-01
Subjects:	montessus de ballore’s theorem multipoint padé approximation hermite-padé approximation simultaneous approximation rate of convergence 30e10 41a21 41a28
Online Access:	https://doi.org/10.1515/dema-2023-0140