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Mathematics of the USSR-Sbornik, 1976, Volume 30, Issue 3, Pages 279–295
DOI: https://doi.org/10.1070/SM1976v030n03ABEH002274 (Mi sm2902) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On integral norms for polynomials

R. M. Trigub
English version PDF (859 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/SM1976v030n03ABEH002274
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.
Received: 10.10.1974
Bibliographic databases:
UDC: 517.5
MSC: Primary 42A24, 42A28; Secondary 42A08
Language: English
Original paper language: Russian
Citation: R. M. Trigub, “On integral norms for polynomials”, 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 Math. USSR-Sb.
\yr 1976
\vol 30
\issue 3
\pages 279--295
\mathnet{http://mi.mathnet.ru//eng/sm2902}
\crossref{https://doi.org/10.1070/SM1976v030n03ABEH002274}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=430647}
\zmath{https://zbmath.org/?q=an:0339.42010}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1976FN58700001}
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  • https://doi.org/10.1070/SM1976v030n03ABEH002274
  • https://www.mathnet.ru/eng/sm/v143/i3/p315
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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