Lagrange interpolation and entire functions
For a function f defined almost everywhere on R. Let {Ln (f)} be the sequence of Lagrange interpolation polynomials that approximates f, where the nodes are taken to be the zeros of a certain sequence of orthogonal polynomials. In this paper, we will give a condition on the decay of the error term...
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 1990 |
| País: | Colombia |
| Recursos: | Universidad Nacional de Colombia |
| Repositorio: | Repositorio UN |
| Idioma: | español |
| OAI Identifier: | oai:repositorio.unal.edu.co:unal/43278 |
| Acesso em linha: | https://repositorio.unal.edu.co/handle/unal/43278 http://bdigital.unal.edu.co/33376/ |
| Access Level: | acceso abierto |
| Palavra-chave: | Lagrange orthogonal entire function type finite Hermite polynomials |
| Resumo: | For a function f defined almost everywhere on R. Let {Ln (f)} be the sequence of Lagrange interpolation polynomials that approximates f, where the nodes are taken to be the zeros of a certain sequence of orthogonal polynomials. In this paper, we will give a condition on the decay of the error term 16 |f-Ln(f) |, which makes f the restriction on R of an entire function of order one and finite type. In the case of the Hermite polynomials an estimate on the type is given. |
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