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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 232, Pages 33–49 (Mi znsl3674)  
This article is cited in 1 scientific paper (total in 1 paper)

Sharp inequalities for the second modulus of continuity of periodic functions and of functions extended from the segment

O. L. Vinogradov

St. Petersburg State University
Full-text PDF (570 kB) Citations (1)
Abstract: Sharp estimates for the deviation of some positive operators on the space of $2\pi$-periodic continuous functions are obtained in terms of the second modulus of continuity. The sharp constant in the problem of extending functions with preservation of the second modulus of continuity is found. Bibl. 5 titles.
Received: 20.02.1995
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 92, Issue 1, Pages 3560–3572
DOI: https://doi.org/10.1007/BF02440140
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: O. L. Vinogradov, “Sharp inequalities for the second modulus of continuity of periodic functions and of functions extended from the segment”, Investigations on linear operators and function theory. Part 24, Zap. Nauchn. Sem. POMI, 232, POMI, St. Petersburg, 1996, 33–49; J. Math. Sci. (New York), 92:1 (1998), 3560–3572
Citation in format AMSBIB
\Bibitem{Vin96}
\by O.~L.~Vinogradov
\paper Sharp inequalities for the second modulus of continuity of periodic functions and of functions extended from the segment
\inbook Investigations on linear operators and function theory. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 232
\pages 33--49
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3674}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1464422}
\zmath{https://zbmath.org/?q=an:0907.42001|0890.42001}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 92
\issue 1
\pages 3560--3572
\crossref{https://doi.org/10.1007/BF02440140}
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    • 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
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