Rate of convergence of two-point Padé approximants and logarithmic asymptotics of Laurent-type orthogonal polynomials
type: Item
instance of: scholarly article
title: Rate of convergence of two-point Padé approximants and logarithmic asymptotics of Laurent-type orthogonal polynomials
zbMATH Open document ID: 0834.41015
DOI: 10.1007/BF01203418
published in: Constructive Approximation
publication date: 1995-09-04T00:00:00Z
review text: The \([n- 1/n ]\)-type two-point (at \(z=0\) and at \(z= \infty\)) Padé approximants to the Stieltjes-type meromorphic functions are studied. The rate of convergence of the above approximation is estimated by using the logarithmic asymptotics of Laurent-type orthogonal polynomials, when the interpolation conditions are proportionally distributed at 0 and \(\infty\).
reviewed by: Jacek Gilewicz
Mathematics Subject Classification ID: 41A21
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 30E10
Mathematics Subject Classification ID: 31A99
zbMATH DE Number: 792819
zbMATH Keywords: two-point Padé approximation
zbMATH Keywords: rate of convergence
zbMATH Keywords: orthogonal polynomials
author: Guillermo López Lagomasino
author: Andrei Martínez Finkelshtein
MaRDI profile type: Publication
cites work: Q3964940
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full work available at URL: https://doi.org/10.1007/bf01203418
OpenAlex ID: W366890429
description: scientific article; zbMATH DE number 792819