On rational interpolation to meromophic functions in several variables
type: Item
instance of: scholarly article
title: On rational interpolation to meromophic functions in several variables
zbMATH Open document ID: 0964.41008
author: Zebenzuí García
published in: Journal of Approximation Theory
publication date: 2001-02-05T00:00:00Z
review text: A well-known method for constructing rational approximants in one complex variable is Padé-type approximation, where in contrast to the classical Padé approximation the denominator polynomials are restricted in some sense. In this paper, a new Padé-type approach to rational approximation in several variables is presented. The denominators are chosen in such a way that an analogue to the well-known Montessus de Ballore theorem is valid under certain conditions. Moreover, it turns out that in the univariate case, the corresponding approximants coincide with the Padé approximants. Several examples throw some light on the sharpness of the convergence results.
Mathematics Subject Classification ID: 41A20
zbMATH DE Number: 1523562
zbMATH Keywords: approximant by rational functions
zbMATH Keywords: rational approximation
zbMATH Keywords: Padé-type approximation
zbMATH Keywords: multivariate approximation
zbMATH Keywords: rational approximants
reviewed by: Jürgen Müller
MaRDI profile type: Publication
full work available at URL: jath.2000.3461
OpenAlex ID: W1980101717
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DOI: 10.1006/JATH.2000.3461
description: scientific article; zbMATH DE number 1523562