Continued fractions, two-point Padé approximants and errors in the Stieltjes case
type: Item
instance of: scholarly article
title: Continued fractions, two-point Padé approximants and errors in the Stieltjes case
zbMATH Open document ID: 0998.41005
DOI: 10.1016/S0377-0427(01)00538-6
author: Jacek Gilewicz
author: Maciej Pindor
author: S. Tokarzewski
author: J. J. Telega
published in: Journal of Computational and Applied Mathematics
publication date: 2002-08-22T00:00:00Z
review text: A Stieltjes function is expanded in mixed \(T\)- and \(S\)-continued fraction. The relations between approximants of this continued fraction and two-point Padé approximants are established. The method used by Gilewicz and Magnus has been adapted to obtain the exact relations between the errors of the contiguous two-point Padé approximants in the whole cut complex plane.
Mathematics Subject Classification ID: 41A21
Mathematics Subject Classification ID: 11J70
zbMATH DE Number: 1787677
zbMATH Keywords: two-point Padé approximation
zbMATH Keywords: Stieltjes function
zbMATH Keywords: continued fraction
reviewed by: Juri M. Rappoport
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1787677