Best Approximation and Moduli of Smoothness


Autoria(s): Dimova Zapryanova, Teodora
Data(s)

08/12/2013

08/12/2013

2012

Resumo

2010 Mathematics Subject Classification: 41A25, 41A10.

The aim of this note is to present moduli of smoothness which are introduced by different schools of approximation for characterization of the best algebraic approximation. We observe that Potapov’s generalized moduli are equivalent to the error in approximation by the algebraic version of the trigonometric Jackson integrals in uniform norm and in weighted integral metric.

Identificador

Pliska Studia Mathematica Bulgarica, Vol. 21, No 1, (2012), 299p-306p

0204-9805

http://hdl.handle.net/10525/2156

Idioma(s)

en

Publicador

Institute of Mathematics and Informatics Bulgarian Academy of Sciences

Palavras-Chave #Moduli of smoothness #Best algebraic approximation #K-functional, Linear operator
Tipo

Article