The Best Multipoint Padé Approximant
This paper is dealing with the problem of finding the best multipoint Padé approximant of an analytic function when data in some neighborhoods of sampling points are more important than others. More exactly, we obtain a multipoint Padé approximants as limits of best rational Lp-approximations on uni...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2018 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/102535 |
| Acceso en línea: | http://hdl.handle.net/11336/102535 |
| Access Level: | acceso abierto |
| Palabra clave: | BEST APPROXIMATION COMPLEX DOMAIN PADE APPROXIMANT WEIGHTED LP-SPACES https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | This paper is dealing with the problem of finding the best multipoint Padé approximant of an analytic function when data in some neighborhoods of sampling points are more important than others. More exactly, we obtain a multipoint Padé approximants as limits of best rational Lp-approximations on union of disks, when the measure of them tends to zero with different speeds. As such, this technique provides useful qualitative and analytic information concerning the approximants, which is difficult to obtain from a strictly numerical treatment. |
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