Extended best polynomial approximation operator in Orlicz Spaces

In this article we consider the best polynomial approximation operator, defined in an Orlicz space L Φ(B), and its extension to L ϕ(B) where ϕ is the derivative function of Φ. A characterization of these operators and several properties are obtained.

Detalles Bibliográficos
Autores: Acinas, Sonia Ester, Favier, Sergio José, Zo, Felipe
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/14812
Acceso en línea:http://hdl.handle.net/11336/14812
Access Level:acceso abierto
Palabra clave:Orlicz Spaces
Best Polynomial Phi-Approximation Operators
Extended Best Polynomial Approximation From L^Phi to L^Varphi
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descripción
Sumario:In this article we consider the best polynomial approximation operator, defined in an Orlicz space L Φ(B), and its extension to L ϕ(B) where ϕ is the derivative function of Φ. A characterization of these operators and several properties are obtained.