Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Sbornik: Mathematics, 2009, Volume 200, Issue 11, Pages 1617–1631
DOI: https://doi.org/10.1070/SM2009v200n11ABEH004053 (Mi sm7510) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Hardy-Littlewood theorem for trigonometric series with $\alpha$-monotone coefficients

M. I. Dyachenkoa, E. D. Nursultanovbc

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Kazakhstan Branch of Lomonosov Moscow State University
c L. N. Gumilev Eurasian National University
English version PDF (287 kB) Citations (7) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM2009v200n11ABEH004053
Abstract: The Hardy-Littlewood theorem is established for trigonometric series with $\alpha$-monotone coefficients. Inequalities of Hardy-Littlewood kind are proved. Examples of series demonstrating that the results obtained are sharp are constructed.
Bibliography: 15 titles.
Keywords: generalized monotone coefficients, Hardy-Littlewood theorem.
Received: 03.12.2008 and 13.04.2009
Bibliographic databases:
UDC: 517.52
MSC: 42A16
Language: English
Original paper language: Russian
Citation: M. I. Dyachenko, E. D. Nursultanov, “Hardy-Littlewood theorem for trigonometric series with $\alpha$-monotone coefficients”, Sb. Math., 200:11 (2009), 1617–1631
Citation in format AMSBIB
\Bibitem{DyaNur09}
\by M.~I.~Dyachenko, E.~D.~Nursultanov
\paper Hardy-Littlewood theorem for trigonometric series with $\alpha$-monotone coefficients
\jour Sb. Math.
\yr 2009
\vol 200
\issue 11
\pages 1617--1631
\mathnet{http://mi.mathnet.ru//eng/sm7510}
\crossref{https://doi.org/10.1070/SM2009v200n11ABEH004053}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2589997}
\zmath{https://zbmath.org/?q=an:1192.42004}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2009SbMat.200.1617D}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000275236600003}
\elib{https://elibrary.ru/item.asp?id=19066095}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-75649149500}
Linking options:
  • https://www.mathnet.ru/eng/sm7510
  • https://doi.org/10.1070/SM2009v200n11ABEH004053
  • https://www.mathnet.ru/eng/sm/v200/i11/p45
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:1163
    Russian version PDF:390
    English version PDF:24
    References:87
    First page:87
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024