Linear methods for summing Fourier series and approximation in weighted Lebesgue spaces with variable exponents

In the present work, we study the estimates for the periodic functions of linear operators constructed on the basis of their Fourier series in weighted Lebesgue spaces with variable exponent and Muckenhoupt weights. In this case, the obtained estimates depend on the sequence of the best approximatio...

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Bibliographic Details
Date:2014
Main Author: Jafarov, S.Z.
Format: Article
Language:English
Published: Інститут математики НАН України 2014
Series:Український математичний журнал
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/166117
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Linear methods for summing Fourier series and approximation in weighted Lebesgue spaces with variable exponents / S.Z. Jafarov // Український математичний журнал. — 2014. — Т. 66, № 10. — С. 1348–1356. — Бібліогр.: 32 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine