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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| Date: | 2011 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2011
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| Series: | Український математичний журнал |
| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/163961 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Trigonometric approximation of functions in generalized Lebesgue spaces with variable exponent / R. Akgün // Український математичний журнал. — 2011. — Т. 63, № 1. — С. 3–23. — Бібліогр.: 42 назв. — англ. |