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Matematicheskie Zametki, 1974, Volume 15, Issue 3, Pages 387–392 (Mi mzm7359)  

This article is cited in 4 scientific papers (total in 4 papers)

Even diameters of the classes $W^{(r)}H_\omega$ in the space $C_2\pi$

V. I. Ruban

Dnepropetrovsk State University
Full-text PDF (360 kB) Citations (4)
Abstract: For even values of $n$ we find the exact values of the diameters $d_n(W^{(r)}H_\omega)$ of the classes of $2\pi$-periodic functions $W^{(r)}H_\omega$ ($\omega(t)$ is an arbitrary convex upwards modulus of continuity) in the space $C_2\pi$. We find that $d_{2n}(W^{(r)}H_\omega)$ ($n=1,2,\dots$; $r=0,1,2,\dots$).
Received: 29.05.1973
English version:
Mathematical Notes, 1974, Volume 15, Issue 3, Pages 222–225
DOI: https://doi.org/10.1007/BF01438374
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. I. Ruban, “Even diameters of the classes $W^{(r)}H_\omega$ in the space $C_2\pi$”, Mat. Zametki, 15:3 (1974), 387–392; Math. Notes, 15:3 (1974), 222–225
Citation in format AMSBIB
\Bibitem{Rub74}
\by V.~I.~Ruban
\paper Even diameters of the classes $W^{(r)}H_\omega$ in the space $C_2\pi$
\jour Mat. Zametki
\yr 1974
\vol 15
\issue 3
\pages 387--392
\mathnet{http://mi.mathnet.ru/mzm7359}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=352814}
\zmath{https://zbmath.org/?q=an:0297.41023}
\transl
\jour Math. Notes
\yr 1974
\vol 15
\issue 3
\pages 222--225
\crossref{https://doi.org/10.1007/BF01438374}
Linking options:
  • https://www.mathnet.ru/eng/mzm7359
  • https://www.mathnet.ru/eng/mzm/v15/i3/p387
  • This publication is cited in the following 4 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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    Full-text PDF :90
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