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.
| Author: | |
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| Format: | Article |
| Status: | Accepted version |
| Publication date: | 2017 |
| Country: | España |
| Institution: | Universidad de La Rioja (UR) |
| Repository: | RIUR. Repositorio Institucional de la Universidad de La Rioja |
| OAI Identifier: | oai:portal.dialnet.es:doc/5bbc6947b750603269e8185d |
| Online Access: | https://investigacion.unirioja.es/documentos/5bbc6947b750603269e8185d |
| Access Level: | Open access |
| Keyword: | Orthogonal polynomials Padé approximation Rational approximation Varying measure |
| _version_ | 1878740056580030464 |
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| author | Bello-Hernández, M. [0000-0002-1833-4688] |
| author_browse | Bello-Hernández, M. [0000-0002-1833-4688] |
| author_facet | Bello-Hernández, M. [0000-0002-1833-4688] |
| author_role | author |
| collection | RIUR. Repositorio Institucional de la Universidad de La Rioja |
| 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. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_cccd9966e548d60f3c8fd588eae7dee0 |
| institution | Universidad de La Rioja (UR) |
| instname_str | Universidad de La Rioja (UR) |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:portal.dialnet.es:doc/5bbc6947b750603269e8185d |
| publishDate | 2017 |
| publishDateSort | 2017 |
| reponame_str | RIUR. Repositorio Institucional de la Universidad de La Rioja |
| spelling | Frobenius–Padé approximants of piecewise analytic functions II Bello-Hernández, M. [0000-0002-1833-4688] Orthogonal polynomials Padé approximation Rational approximation Varying measure 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. https://investigacion.unirioja.es/documentos/5bbc6947b750603269e8185d |
| spellingShingle | Frobenius–Padé approximants of piecewise analytic functions II Bello-Hernández, M. [0000-0002-1833-4688] Orthogonal polynomials Padé approximation Rational approximation Varying measure |
| status_str | acceptedVersion |
| title | 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_short | Frobenius–Padé approximants of piecewise analytic functions II |
| title_sort | Frobenius–Padé approximants of piecewise analytic functions II |
| topic | Orthogonal polynomials Padé approximation Rational approximation Varying measure |
| topic_facet | Orthogonal polynomials Padé approximation Rational approximation Varying measure |
| url | https://investigacion.unirioja.es/documentos/5bbc6947b750603269e8185d |