Artículo
Best Simultaneous Local Approximation in the Lp Norms
Fecha de publicación:
06/2017
Editorial:
Taylor & Francis
Revista:
Numerical Functional Analysis And Optimization
ISSN:
0163-0563
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We study the behavior of the best simultaneous approximation to two functions from a convex set in Lp spaces, 2<p<∞, on a finite union of intervals when its measure tends to zero. In particular, we give sufficient conditions over the differentiability of two functions to assure existence of the best simultaneous local approximation from the class of algebraic polynomials of a fixed degree. These conditions are weaker than the ordinary differentiability given in previous works. More precisely, we consider differentiable functions in the sense Lp.
Palabras clave:
CONVEX SETS
,
LP SPACES
,
SIMULTANEOUS APPROXIMATION
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Identificadores
Colecciones
Articulos(CCT - CORDOBA)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - CORDOBA
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - CORDOBA
Citación
Ferreyra, David Eduardo; Levis, Fabián Eduardo; Best Simultaneous Local Approximation in the Lp Norms; Taylor & Francis; Numerical Functional Analysis And Optimization; 38; 6; 6-2017; 770-798
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