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

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya: Mathematics, 2003, Volume 67, Issue 2, Pages 265–302
DOI: https://doi.org/10.1070/IM2003v067n02ABEH000427 (Mi im427) 		 
This article is cited in 46 scientific papers (total in 46 papers)

Best $M$-term trigonometric approximations of Besov classes of periodic functions of several variables

A. S. Romanyuk

Institute of Mathematics, Ukrainian National Academy of Sciences
English version PDF (384 kB) Citations (46)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM2003v067n02ABEH000427
Abstract: We obtain order-exact estimates for the best $M$-term trigonometric approximations of the Besov classes $B_{p,\theta}^r$ of periodic functions of several variables in $L_q$ with certain relations between $p$ and $q$.
Received: 27.07.2001
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2003, Volume 67, Issue 2, Pages 61–100
DOI: https://doi.org/10.4213/im427
Bibliographic databases:
UDC: 517.5
MSC: 42B99, 41A46, 41A50
Language: English
Original paper language: Russian
Citation: A. S. Romanyuk, “Best $M$-term trigonometric approximations of Besov classes of periodic functions of several variables”, Izv. RAN. Ser. Mat., 67:2 (2003), 61–100; Izv. Math., 67:2 (2003), 265–302
Citation in format AMSBIB
\Bibitem{Rom03}
\by A.~S.~Romanyuk
\paper Best $M$-term trigonometric approximations of Besov classes of periodic functions of several variables
\jour Izv. RAN. Ser. Mat.
\yr 2003
\vol 67
\issue 2
\pages 61--100
\mathnet{http://mi.mathnet.ru/im427}
\crossref{https://doi.org/10.4213/im427}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1972993}
\zmath{https://zbmath.org/?q=an:1066.42001}
\transl
\jour Izv. Math.
\yr 2003
\vol 67
\issue 2
\pages 265--302
\crossref{https://doi.org/10.1070/IM2003v067n02ABEH000427}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000185541900003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748698678}
Linking options:
  • https://www.mathnet.ru/eng/im427
  • https://doi.org/10.1070/IM2003v067n02ABEH000427
  • https://www.mathnet.ru/eng/im/v67/i2/p61
    • This publication is cited in the following 46 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:1674
    Russian version PDF:735
    English version PDF:19
    References:184
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024