Inequalities in Lp−1 for the extended Lp best approximation operator
The best polynomial approximation operator was recently extended by one of the authors from Lp to Lp−1. In this paper, we study weak and strong inequalities for maximal operators related with the extended best polynomial approximation operator. As an application, we obtain norm convergence of the co...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2012 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/15413 |
| Acceso en línea: | http://hdl.handle.net/11336/15413 |
| Access Level: | acceso abierto |
| Palabra clave: | Best Approximation Extended Of the Best Approximation Operator Peano Derivatives in Lp Maximal Functions Associated To the Best Approximation Operator Maximal Inequalities https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | The best polynomial approximation operator was recently extended by one of the authors from Lp to Lp−1. In this paper, we study weak and strong inequalities for maximal operators related with the extended best polynomial approximation operator. As an application, we obtain norm convergence of the coefficients of the best polynomial approximation. |
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