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

Autor:	Bosuwan Nattapong
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	montessus de ballore’s theorem multipoint padé approximation hermite-padé approximation simultaneous approximation rate of convergence 30e10 41a21 41a28 Mathematics QA1-939
Zdroj:	Demonstratio Mathematica, Vol 57, Iss 1, Pp 28-36 (2024)
Druh dokumentu:	article
ISSN:	2391-4661
DOI:	10.1515/dema-2023-0140
Popis:	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 Montessus de Ballore theorem when a table of interpolation points is Newtonian.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/9c570d342cc543abac2a6d331b77d7d2 Zobrazit plný text záznamu View record in DOAJ