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Trigonometric approximation of functions in generalized Lebesgue spaces with variable exponent

We investigate the approximation properties of the trigonometric system in Lp(·)2π. We consider the fractional order moduli of smoothness and obtain direct, converse approximation theorems together with a constructive characterization of a Lipschitz-type class.

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Bibliographic Details
Main Author: Akgün, R.
Format: Article
Language:English
Published: Інститут математики НАН України 2011
Series:Український математичний журнал
Subjects:
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/163961
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