Best simultaneous approximation on small regions by rational functions

In this paper we study the behavior of best simultaneous (lq,Lp)-approximation by rational functions on an interval, when the measure tends to zero. In addition, we consider the case of polynomial approximation on a finite union of intervals. We also get an interpolation result.

Detalles Bibliográficos
Autores: Cuenya, Hector Hugo, Levis, Fabián Eduardo, Priori, Albina Natalia
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2016
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/179775
Acceso en línea:http://hdl.handle.net/11336/179775
Access Level:acceso abierto
Palabra clave:SIMULTANEOUS APPROXIMATION
RATIONAL FUNCTIONS
Lp-SPACES
PADE APPROXIMANT
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descripción
Sumario:In this paper we study the behavior of best simultaneous (lq,Lp)-approximation by rational functions on an interval, when the measure tends to zero. In addition, we consider the case of polynomial approximation on a finite union of intervals. We also get an interpolation result.