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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 247, Pages 26–45 (Mi znsl561)  
This article is cited in 4 scientific papers (total in 4 papers)

The sharp constant in the estimate of the Rogozinski sums deviation in terms of the second modulus of continuity in the space of continuous periodic functions

O. L. Vinogradov

St. Petersburg State University, Department of Mathematics and Mechanics
Full-text PDF (228 kB) Citations (4)
Abstract: The sharp constant (uniformly in $n$) is found in a Jackson-type inequality involving the Rogozinski sums of order $n$ and the second modulus of continuity with the step $\pi/(n+1)$.
Received: 28.11.1996
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 101, Issue 3, Pages 3060–3072
DOI: https://doi.org/10.1007/BF02673731
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: O. L. Vinogradov, “The sharp constant in the estimate of the Rogozinski sums deviation in terms of the second modulus of continuity in the space of continuous periodic functions”, Investigations on linear operators and function theory. Part 25, Zap. Nauchn. Sem. POMI, 247, POMI, St. Petersburg, 1997, 26–45; J. Math. Sci. (New York), 101:3 (2000), 3060–3072
Citation in format AMSBIB
\Bibitem{Vin97}
\by O.~L.~Vinogradov
\paper The sharp constant in the estimate of the Rogozinski sums deviation in terms of the second modulus of continuity
in the space of continuous periodic functions
\inbook Investigations on linear operators and function theory. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 247
\pages 26--45
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl561}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1692644}
\zmath{https://zbmath.org/?q=an:0974.42001}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 101
\issue 3
\pages 3060--3072
\crossref{https://doi.org/10.1007/BF02673731}
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  • https://www.mathnet.ru/eng/znsl/v247/p26
    • 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
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