Matematicheskie Zametki
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. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2002, Volume 72, Issue 4, Pages 509–515
DOI: https://doi.org/10.4213/mzm440 (Mi mzm440) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Lower Bounds for $n$-Term Approximations of Plane Convex Sets and Related Topics

B. S. Kashin

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (205 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm440
Abstract: In this paper, we establish lower bounds for $n$-term approximations in the metric of$L^2(I^2)$ of characteristic functions of plane convex subsets of the square $I^2$ with respect to arbitrary orthogonal systems. It is shown that, as $n\to \infty $, these bounds cannot decrease more rapidly than $1/n$.
Received: 30.04.2002
English version:
Mathematical Notes, 2002, Volume 72, Issue 4, Pages 473–478
DOI: https://doi.org/10.1023/A:1020528210992
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: B. S. Kashin, “Lower Bounds for $n$-Term Approximations of Plane Convex Sets and Related Topics”, Mat. Zametki, 72:4 (2002), 509–515; Math. Notes, 72:4 (2002), 473–478
Citation in format AMSBIB
\Bibitem{Kas02}
\by B.~S.~Kashin
\paper Lower Bounds for $n$-Term Approximations of Plane Convex Sets and Related Topics
\jour Mat. Zametki
\yr 2002
\vol 72
\issue 4
\pages 509--515
\mathnet{http://mi.mathnet.ru/mzm440}
\crossref{https://doi.org/10.4213/mzm440}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1963146}
\zmath{https://zbmath.org/?q=an:1051.41013}
\transl
\jour Math. Notes
\yr 2002
\vol 72
\issue 4
\pages 473--478
\crossref{https://doi.org/10.1023/A:1020528210992}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000179160400021}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0141848652}
Linking options:
  • https://www.mathnet.ru/eng/mzm440
  • https://doi.org/10.4213/mzm440
  • https://www.mathnet.ru/eng/mzm/v72/i4/p509
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:720
    Full-text PDF :237
    References:48
    First page:4
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024