Frobenius–Padé approximants of |x|
We construct the Frobenius–Padé approximants of the function |x| in (−1,1) for the Chebyshev weight. These rational functions are linked with the Frobenius–Padé approximants of the function x in (0,1). We prove geometric convergence of the approximants of |x| in C∖{z:ℜ(z)=0}. © 2016 Elsevier Inc....
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2016 |
| 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/5bbc6878b750603269e8097f |
| Acceso en línea: | https://investigacion.unirioja.es/documentos/5bbc6878b750603269e8097f |
| Access Level: | acceso abierto |
| Palabra clave: | Fourier–Padé approximation Frobenius–Padé approximation Orthogonal polynomials Rational approximation Varying measures |
| Sumario: | We construct the Frobenius–Padé approximants of the function |x| in (−1,1) for the Chebyshev weight. These rational functions are linked with the Frobenius–Padé approximants of the function x in (0,1). We prove geometric convergence of the approximants of |x| in C∖{z:ℜ(z)=0}. © 2016 Elsevier Inc. |
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