Frobenius–Padé approximants of piecewise analytic functions II

We prove the convergence of the Frobenius–Padé approximants for a class of piecewise analytic functions which includes |x|α with 0<α<2. The measures considered for the expansions are symmetric in [−1,1]. © 2017 Elsevier Inc.

Detalhes bibliográficos
Autor: Bello-Hernández, M. [0000-0002-1833-4688]
Formato: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2017
País:España
Recursos:Universidad de La Rioja (UR)
Repositorio:RIUR. Repositorio Institucional de la Universidad de La Rioja
OAI Identifier:oai:portal.dialnet.es:doc/5bbc6947b750603269e8185d
Acesso em linha:https://investigacion.unirioja.es/documentos/5bbc6947b750603269e8185d
Access Level:acceso abierto
Palavra-chave:Orthogonal polynomials
Padé approximation
Rational approximation
Varying measure
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spelling Frobenius–Padé approximants of piecewise analytic functions IIBello-Hernández, M. [0000-0002-1833-4688]Orthogonal polynomialsPadé approximationRational approximationVarying measureWe prove the convergence of the Frobenius–Padé approximants for a class of piecewise analytic functions which includes |x|α with 0<α<2. The measures considered for the expansions are symmetric in [−1,1]. © 2017 Elsevier Inc.2017info:eu-repo/semantics/articleSubtype: Articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://investigacion.unirioja.es/documentos/5bbc6947b750603269e8185dreponame:RIUR. Repositorio Institucional de la Universidad de La Riojainstname:Universidad de La Rioja (UR)Inglésinfo:eu-repo/semantics/altIdentifier/doi/10.1016/J.JAT.2017.08.001info:eu-repo/semantics/altIdentifier/wos/WOS:000413385700005info:eu-repo/semantics/altIdentifier/pissn/0021-9045Frobenius–Padé approximants of piecewise analytic functions II, 2017, vol. 223, pág. 52-63info:eu-repo/semantics/openAccessoai:portal.dialnet.es:doc/5bbc6947b750603269e8185d2026-06-14T12:47:17Z
dc.title.none.fl_str_mv Frobenius–Padé approximants of piecewise analytic functions II
title Frobenius–Padé approximants of piecewise analytic functions II
spellingShingle Frobenius–Padé approximants of piecewise analytic functions II
Bello-Hernández, M. [0000-0002-1833-4688]
Orthogonal polynomials
Padé approximation
Rational approximation
Varying measure
title_short Frobenius–Padé approximants of piecewise analytic functions II
title_full Frobenius–Padé approximants of piecewise analytic functions II
title_fullStr Frobenius–Padé approximants of piecewise analytic functions II
title_full_unstemmed Frobenius–Padé approximants of piecewise analytic functions II
title_sort Frobenius–Padé approximants of piecewise analytic functions II
dc.creator.none.fl_str_mv Bello-Hernández, M. [0000-0002-1833-4688]
author Bello-Hernández, M. [0000-0002-1833-4688]
author_facet Bello-Hernández, M. [0000-0002-1833-4688]
author_role author
dc.subject.none.fl_str_mv Orthogonal polynomials
Padé approximation
Rational approximation
Varying measure
topic Orthogonal polynomials
Padé approximation
Rational approximation
Varying measure
description We prove the convergence of the Frobenius–Padé approximants for a class of piecewise analytic functions which includes |x|α with 0<α<2. The measures considered for the expansions are symmetric in [−1,1]. © 2017 Elsevier Inc.
publishDate 2017
dc.date.none.fl_str_mv 2017
dc.type.none.fl_str_mv info:eu-repo/semantics/article
Subtype: Article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://investigacion.unirioja.es/documentos/5bbc6947b750603269e8185d
url https://investigacion.unirioja.es/documentos/5bbc6947b750603269e8185d
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/J.JAT.2017.08.001
info:eu-repo/semantics/altIdentifier/wos/WOS:000413385700005
info:eu-repo/semantics/altIdentifier/pissn/0021-9045
Frobenius–Padé approximants of piecewise analytic functions II, 2017, vol. 223, pág. 52-63
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eu_rights_str_mv openAccess
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instname:Universidad de La Rioja (UR)
instname_str Universidad de La Rioja (UR)
reponame_str RIUR. Repositorio Institucional de la Universidad de La Rioja
collection RIUR. Repositorio Institucional de la Universidad de La Rioja
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