Trudy Matematicheskogo Instituta imeni V.A. Steklova
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

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Volume 290, Pages 323–334
DOI: https://doi.org/10.1134/S0371968515030279 (Mi tm3658) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Integrability of the sum of absolute values of blocks of the Fourier–Walsh series for functions of bounded variation

Yu. V. Malykhina, S. A. Telyakovskiia, N. N. Kholshchevnikovab

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
b Moscow State Technological University "Stankin", Moscow, Russia
Full-text PDF (217 kB) Citations (6)
References:
PDF
HTML
DOI: https://doi.org/10.1134/S0371968515030279
Abstract: We establish necessary and sufficient conditions on a sequence that splits the Fourier–Walsh series into blocks under which the series consisting of the absolute values of such blocks of the Fourier–Walsh series of any function of bounded variation converges to an integrable function. We also obtain estimates for the $L$-norms of the Walsh–Dirichlet kernels and their differences.
Funding agency Grant number
Russian Science Foundation 14-50-00005
Russian Foundation for Basic Research 14-01-00417
The work of Yu.V. Malykhin and S.A. Telyakovskii (Sections 1, 2, and 4) is supported by the Russian Science Foundation under grant 14-50-00005 and performed in Steklov Mathematical Institute of Russian Academy of Sciences. The work of N.N. Kholshchevnikova (Section 3) is supported by the Russian Foundation for Basic Research, project no. 14-01-00417.
Received: March 15, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2015, Volume 290, Issue 1, Pages 306–317
DOI: https://doi.org/10.1134/S0081543815060279
Bibliographic databases:
Document Type: Article
UDC: 517.518.36
Language: Russian
Citation: Yu. V. Malykhin, S. A. Telyakovskii, N. N. Kholshchevnikova, “Integrability of the sum of absolute values of blocks of the Fourier–Walsh series for functions of bounded variation”, Modern problems of mathematics, mechanics, and mathematical physics, Collected papers, Trudy Mat. Inst. Steklova, 290, MAIK Nauka/Interperiodica, Moscow, 2015, 323–334; Proc. Steklov Inst. Math., 290:1 (2015), 306–317
Citation in format AMSBIB
\Bibitem{MalTelKho15}
\by Yu.~V.~Malykhin, S.~A.~Telyakovskii, N.~N.~Kholshchevnikova
\paper Integrability of the sum of absolute values of blocks of the Fourier--Walsh series for functions of bounded variation
\inbook Modern problems of mathematics, mechanics, and mathematical physics
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2015
\vol 290
\pages 323--334
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3658}
\crossref{https://doi.org/10.1134/S0371968515030279}
\elib{https://elibrary.ru/item.asp?id=24045417}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2015
\vol 290
\issue 1
\pages 306--317
\crossref{https://doi.org/10.1134/S0081543815060279}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000363268500027}
\elib{https://elibrary.ru/item.asp?id=24962573}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84944691194}
Linking options:
  • https://www.mathnet.ru/eng/tm3658
  • https://doi.org/10.1134/S0371968515030279
  • https://www.mathnet.ru/eng/tm/v290/p323
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024