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Matematicheskie Zametki, 1974, Volume 15, Issue 1, Pages 15–20 (Mi mzm7314)  
Order of $(C,\alpha)$-approximations on certain classes of periodic functions

V. È. Gheit

Sverdlovsk Pedagogic Institute
Full-text PDF (375 kB)
Abstract: In the spaces $L_{2\pi}$ and $C_{2\pi}$, the orders of upper bounds for the deviations of a function and its conjugate from the Cesaro means of their Fourier series are obtained on a class of functions with a given majorant of their k-th modulus of smoothness.
Received: 25.10.1971
English version:
Mathematical Notes, 1974, Volume 15, Issue 1, Pages 21–32
DOI: https://doi.org/10.1007/BF01153537
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. È. Gheit, “Order of $(C,\alpha)$-approximations on certain classes of periodic functions”, Mat. Zametki, 15:1 (1974), 15–20; Math. Notes, 15:1 (1974), 21–32
Citation in format AMSBIB
\Bibitem{Ghe74}
\by V.~\`E.~Gheit
\paper Order of $(C,\alpha)$-approximations on certain classes of periodic functions
\jour Mat. Zametki
\yr 1974
\vol 15
\issue 1
\pages 15--20
\mathnet{http://mi.mathnet.ru/mzm7314}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=333548}
\zmath{https://zbmath.org/?q=an:0299.41011}
\transl
\jour Math. Notes
\yr 1974
\vol 15
\issue 1
\pages 21--32
\crossref{https://doi.org/10.1007/BF01153537}
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