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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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Інститут математики НАН України
2011
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| Series: | Український математичний журнал |
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| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/163961 |
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irk-123456789-1639612020-02-08T01:26:09Z Trigonometric approximation of functions in generalized Lebesgue spaces with variable exponent Akgün, R. Статті 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. Досліджено властивості наближення тригонометричної системи в Lp(⋅)2π. Розглянуто модулі гладкості дробового порядку та отримано пряму і обернену теореми наближення разом із конструктивною характеризацією класу типу Ліпшиця. 2011 Article 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. 1027-3190 http://dspace.nbuv.gov.ua/handle/123456789/163961 517.938.5 en Український математичний журнал Інститут математики НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| language |
English |
| topic |
Статті Статті |
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Статті Статті Akgün, R. Trigonometric approximation of functions in generalized Lebesgue spaces with variable exponent Український математичний журнал |
| description |
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. |
| format |
Article |
| author |
Akgün, R. |
| author_facet |
Akgün, R. |
| author_sort |
Akgün, R. |
| title |
Trigonometric approximation of functions in generalized Lebesgue spaces with variable exponent |
| title_short |
Trigonometric approximation of functions in generalized Lebesgue spaces with variable exponent |
| title_full |
Trigonometric approximation of functions in generalized Lebesgue spaces with variable exponent |
| title_fullStr |
Trigonometric approximation of functions in generalized Lebesgue spaces with variable exponent |
| title_full_unstemmed |
Trigonometric approximation of functions in generalized Lebesgue spaces with variable exponent |
| title_sort |
trigonometric approximation of functions in generalized lebesgue spaces with variable exponent |
| publisher |
Інститут математики НАН України |
| publishDate |
2011 |
| topic_facet |
Статті |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/163961 |
| citation_txt |
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. |
| series |
Український математичний журнал |
| work_keys_str_mv |
AT akgunr trigonometricapproximationoffunctionsingeneralizedlebesguespaceswithvariableexponent |
| first_indexed |
2023-10-18T22:11:50Z |
| last_indexed |
2023-10-18T22:11:50Z |
| _version_ |
1796154885994971136 |