Convergence of Fourier-Padé approximants for Stieltjes functions
We prove convergence of diagonal multipoint Pad\'e approximants of Stieltjes-type functions when a certain moment problem is determinate. This is used for the study of the convergence of Fourier--Pad\'e and nonlinear Fourier--Pad\'e approximants for such type of functions.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2006 |
| País: | España |
| Institución: | Universidad de La Rioja (UR) |
| Repositorio: | RIUR. Repositorio Institucional de la Universidad de La Rioja |
| OAI Identifier: | oai:portal.dialnet.es:doc/5bbc6a1cb750603269e82732 |
| Acceso en línea: | https://investigacion.unirioja.es/documentos/5bbc6a1cb750603269e82732 |
| Access Level: | acceso abierto |
| Palabra clave: | Fourier-Padé approximants Moment problem Multipoint Padé approximants Rational approximation |
| Sumario: | We prove convergence of diagonal multipoint Pad\'e approximants of Stieltjes-type functions when a certain moment problem is determinate. This is used for the study of the convergence of Fourier--Pad\'e and nonlinear Fourier--Pad\'e approximants for such type of functions. |
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