Order regularity for Birkhoff interpolation with lacunary polynomials
In this short paper we present sufficient conditions for the order regularity problem in Birkhoff interpolation with lacunary polynomials. These conditions are a generalization of the Atkinson-Sharma theorem.
| Autores: | , , , |
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| Formato: | artículo |
| Fecha de publicación: | 2011 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/98736 |
| Acesso em linha: | https://hdl.handle.net/2117/98736 |
| Access Level: | acceso abierto |
| Palavra-chave: | Interpolation Interpolació (Matemàtica) Classificació AMS::41 Approximations and expansions Classificació AMS::65 Numerical analysis::65D Numerical approximation and computational geometry Àrees temàtiques de la UPC::Matemàtiques i estadística |
| Resumo: | In this short paper we present sufficient conditions for the order regularity problem in Birkhoff interpolation with lacunary polynomials. These conditions are a generalization of the Atkinson-Sharma theorem. |
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