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Mat. Sb. (N.S.), 1976, Volume 101(143), Number 3(11), Pages 315–333 (Mi msb2902)  

This article is cited in 3 scientific papers (total in 3 papers)

On integral norms for polynomials

R. M. Trigub


Abstract: In this paper various transformations of trigonometrical polynomials are introduced; these are then used to deduce asymptotic formulas for the behavior of sequences of integrals of the moduli of the polynomials. As a consequence a definitive form is found for a relationship (in both directions) between the summability and absolute convergence of trigonometric Fourier series which has been noted earlier by the author.
Bibliography: 26 titles.

Full text: PDF file (1380 kB)
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English version:
Mathematics of the USSR-Sbornik, 1976, 30:3, 279–295

Bibliographic databases:

UDC: 517.5
MSC: Primary 42A24, 42A28; Secondary 42A08
Received: 10.10.1974

Citation: R. M. Trigub, “On integral norms for polynomials”, Mat. Sb. (N.S.), 101(143):3(11) (1976), 315–333; Math. USSR-Sb., 30:3 (1976), 279–295

Citation in format AMSBIB
\Bibitem{Tri76}
\by R.~M.~Trigub
\paper On integral norms for polynomials
\jour Mat. Sb. (N.S.)
\yr 1976
\vol 101(143)
\issue 3(11)
\pages 315--333
\mathnet{http://mi.mathnet.ru/msb2902}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=430647}
\zmath{https://zbmath.org/?q=an:0339.42010}
\transl
\jour Math. USSR-Sb.
\yr 1976
\vol 30
\issue 3
\pages 279--295
\crossref{https://doi.org/10.1070/SM1976v030n03ABEH002274}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1976FN58700001}


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  • http://mi.mathnet.ru/eng/msb/v143/i3/p315

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. N. P. Korneichuk, “S. M. Nikol'skii and the development of research on approximation theory in the USSR”, Russian Math. Surveys, 40:5 (1985), 83–156  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    2. E.R. Liflyan, “Fourier transforms of radial functions”, Integral Transforms and Special Functions, 4:3 (1996), 279  crossref
    3. E. R. Liflyand, “Asymptotics of the Fourier Sine Transform of a Function of Bounded Variation”, Math. Notes, 100:1 (2016), 93–99  mathnet  crossref  crossref  mathscinet  isi  elib
  • Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics (from 1967)
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