RATIONAL APPROXIMATION IN L φ SPACES ON A FINITE UNION OF DISJOINT INTERVALS

In this paper we study the convergence of the best rational approximants, to a function f, respect to the Luxemburg norm on a finite union of disjoint intervals, with diameters shrinking to zero. This work extends previous results on L p spaces. We also prove existence of best local quasi-rational a...

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Bibliographic Details
Published inNumerical functional analysis and optimization Vol. 23; no. 7-8; pp. 747 - 755
Main Authors Cuenya, H. H., Rodriguez, C. N.
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 01.11.2002
Subjects
Luxemburg norm
Mathematics Subject Classification
Padé approximant
Primary 41A50
Rational approximation
Secondary 46E30
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ISSN0163-0563
1532-2467
DOI10.1081/NFA-120016267

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Summary:In this paper we study the convergence of the best rational approximants, to a function f, respect to the Luxemburg norm on a finite union of disjoint intervals, with diameters shrinking to zero. This work extends previous results on L p spaces. We also prove existence of best local quasi-rational approximants on a finite point set.
ISSN:0163-0563
1532-2467
DOI:10.1081/NFA-120016267