Balayage and convergence of rational interpolants
type: Item
instance of: scholarly article
title: Balayage and convergence of rational interpolants
zbMATH Open document ID: 0934.30030
author: Amiran Ambroladze
author: Hans Wallin
published in: Journal of Approximation Theory
publication date: 1999-11-16T00:00:00Z
review text: The authors charaterize those regions for which one can find a table of interpolation points and a table of prescribed poles such that for any analytic function on the region the corresponding sequence of interpolating rational functions with prescribed poles converges to the given function. The problem is reduced to that of determining how must a region be so that one can find measures supported on either sides of its boundary such that their balayage onto the boundary coincides.
Mathematics Subject Classification ID: 30E10
zbMATH DE Number: 1346401
zbMATH Keywords: balayage
zbMATH Keywords: rational approximation
reviewed by: Guillermo López Lagomasino
MaRDI profile type: Publication
full work available at URL: jath.1998.3317
OpenAlex ID: W2043419797
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DOI: 10.1006/JATH.1998.3317
description: scientific article; zbMATH DE number 1346401