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.
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| 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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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 |
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2017 |
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info:eu-repo/semantics/article Subtype: Article info:eu-repo/semantics/acceptedVersion |
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article |
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acceptedVersion |
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https://investigacion.unirioja.es/documentos/5bbc6947b750603269e8185d |
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https://investigacion.unirioja.es/documentos/5bbc6947b750603269e8185d |
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Inglés |
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Inglés |
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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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info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
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Universidad de La Rioja (UR) |
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RIUR. Repositorio Institucional de la Universidad de La Rioja |
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