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Matematicheskie Zametki, 1977, Volume 21, Issue 3, Pages 341–354 (Mi mzm7962)  

This article is cited in 1 scientific paper (total in 1 paper)

Approximation by Riesz sums of periodic functions of Hölder classes

A. I. Stepanets

Mathematics Institute, Academy of Sciences of the Ukrainian SSR
Full-text PDF (831 kB) Citations (1)
Abstract: We have found asymptotic equalities for the least upper bounds of the deviations of Riesz sums on the Hölder classes $W^rH_\omega$, $r$ is a nonnegative integer, $\omega(t)$ is an arbitrary convex modulus of continuity.
Received: 19.11.1973
English version:
Mathematical Notes, 1977, Volume 21, Issue 3, Pages 190–198
DOI: https://doi.org/10.1007/BF01106743
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: A. I. Stepanets, “Approximation by Riesz sums of periodic functions of Hölder classes”, Mat. Zametki, 21:3 (1977), 341–354; Math. Notes, 21:3 (1977), 190–198
Citation in format AMSBIB
\Bibitem{Ste77}
\by A.~I.~Stepanets
\paper Approximation by Riesz sums of periodic functions of H\"older classes
\jour Mat. Zametki
\yr 1977
\vol 21
\issue 3
\pages 341--354
\mathnet{http://mi.mathnet.ru/mzm7962}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=450872}
\zmath{https://zbmath.org/?q=an:0403.42008|0361.42009}
\transl
\jour Math. Notes
\yr 1977
\vol 21
\issue 3
\pages 190--198
\crossref{https://doi.org/10.1007/BF01106743}
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  • https://www.mathnet.ru/eng/mzm/v21/i3/p341
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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