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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| Published in | Numerical functional analysis and optimization Vol. 23; no. 7-8; pp. 747 - 755 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Taylor & Francis Group
01.11.2002
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0163-0563 1532-2467 |
| DOI | 10.1081/NFA-120016267 |
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| Abstract | 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. |
|---|---|
| AbstractList | 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. |
| Author | Cuenya, H. H. Rodriguez, C. N. |
| Author_xml | – sequence: 1 givenname: H. H. surname: Cuenya fullname: Cuenya, H. H. email: hcuenya@exa.unrc.edu.ar organization: Departamento de Matemática , Universidad Nacional de Rio Cuarto – sequence: 2 givenname: C. N. surname: Rodriguez fullname: Rodriguez, C. N. organization: Departamento de Matemática , Universidad Nacional de Rio Cuarto |
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| Cites_doi | 10.1016/0021-9045(84)90008-X 10.1016/0021-9045(74)90049-5 10.1080/01630569408816565 10.1016/0021-9045(74)90045-8 |
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| Copyright | Copyright Taylor & Francis Group, LLC 2002 |
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| StartPage | 747 |
| SubjectTerms | Luxemburg norm Mathematics Subject Classification Padé approximant Primary 41A50 Rational approximation Secondary 46E30 |
| Title | RATIONAL APPROXIMATION IN L φ SPACES ON A FINITE UNION OF DISJOINT INTERVALS |
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