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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 383, Pages 5–32 (Mi znsl3869)  
This article is cited in 14 scientific papers (total in 14 papers)

Estimates for functionals with a known moment sequence in terms of deviations of Steklov type means

O. L. Vinogradov, V. V. Zhuk

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (303 kB) Citations (14)
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Abstract: Some estimates mentioned in the title are established. As implications, Jackson type inequalities with constants smaller than known previously are obtained. The results are valid in different spaces of periodic and non periodic functions. Bibl. 9 titles.
Key words and phrases: Steklov function, modulus of continuity, best approximation, moments of functionals.
Received: 06.09.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 178, Issue 2, Pages 115–131
DOI: https://doi.org/10.1007/s10958-011-0531-3
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: O. L. Vinogradov, V. V. Zhuk, “Estimates for functionals with a known moment sequence in terms of deviations of Steklov type means”, Analytical theory of numbers and theory of functions. Part 25, Zap. Nauchn. Sem. POMI, 383, POMI, St. Petersburg, 2010, 5–32; J. Math. Sci. (N. Y.), 178:2 (2011), 115–131
Citation in format AMSBIB
\Bibitem{VinZhu10}
\by O.~L.~Vinogradov, V.~V.~Zhuk
\paper Estimates for functionals with a~known moment sequence in terms of deviations of Steklov type means
\inbook Analytical theory of numbers and theory of functions. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 383
\pages 5--32
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3869}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 178
\issue 2
\pages 115--131
\crossref{https://doi.org/10.1007/s10958-011-0531-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80053463964}
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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