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Fundamentalnaya i Prikladnaya Matematika, 1995, Volume 1, Issue 2, Pages 455–469 (Mi fpm77)  
This article is cited in 1 scientific paper (total in 1 paper)

On estimates for the modules of the smoothness of the functions with transformed Fourier series

M. K. Potapova, B. V. Simonovb

a M. V. Lomonosov Moscow State University
b Volgograd State Technical University
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Abstract: In this article the functions are considered which have generalized derivative in Weyl's sense. The lower and upper estimates for the modules of smoothness of these derivatives are expressed in terms of the modules of smoothness of the function itself.
Received: 01.03.1995
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: M. K. Potapov, B. V. Simonov, “On estimates for the modules of the smoothness of the functions with transformed Fourier series”, Fundam. Prikl. Mat., 1:2 (1995), 455–469
Citation in format AMSBIB
\Bibitem{PotSim95}
\by M.~K.~Potapov, B.~V.~Simonov
\paper On estimates for the modules of the smoothness of the functions with transformed Fourier series
\jour Fundam. Prikl. Mat.
\yr 1995
\vol 1
\issue 2
\pages 455--469
\mathnet{http://mi.mathnet.ru/fpm77}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1790975}
\zmath{https://zbmath.org/?q=an:0872.42002}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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