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Title: Best Approximation and Moduli of Smoothness
Authors: Dimova Zapryanova, Teodora
Keywords: Moduli of smoothness
Best algebraic approximation
K-functional, Linear operator
Issue Date: 2012
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Pliska Studia Mathematica Bulgarica, Vol. 21, No 1, (2012), 299p-306p
Abstract: 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.
Description: 2010 Mathematics Subject Classification: 41A25, 41A10.
ISSN: 0204-9805
Appears in Collections:2012 Volume 21

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