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, 2007, Volume 82, Issue 5, Pages 736–755
DOI: https://doi.org/10.4213/mzm4086
(Mi mzm4086)
 

This article is cited in 1 scientific paper (total in 1 paper)

Extremal Problems for Numerical Series

A. I. Stepanets

Institute of Mathematics, Ukrainian National Academy of Sciences
Full-text PDF (565 kB) Citations (1)
References:
Abstract: In this paper, we consider extremal problems for numerical positive series. The terms of these series are pairwise products of the elements of two sequences, one of which is fixed and the other varies within a given set of sequences. We obtain exact solutions for a number of such problems. As one of the possible applications of the results obtained, we find solutions of some extremal problems related to best $n$-term approximations of periodic functions.
Keywords: numerical series, extremal problem for numerical series, best $n$-term approximation of periodic functions.
Received: 11.04.2006
English version:
Mathematical Notes, 2007, Volume 82, Issue 5, Pages 660–676
DOI: https://doi.org/10.1134/S0001434607110090
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: A. I. Stepanets, “Extremal Problems for Numerical Series”, Mat. Zametki, 82:5 (2007), 736–755; Math. Notes, 82:5 (2007), 660–676
Citation in format AMSBIB
\Bibitem{Ste07}
\by A.~I.~Stepanets
\paper Extremal Problems for Numerical Series
\jour Mat. Zametki
\yr 2007
\vol 82
\issue 5
\pages 736--755
\mathnet{http://mi.mathnet.ru/mzm4086}
\crossref{https://doi.org/10.4213/mzm4086}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2399953}
\zmath{https://zbmath.org/?q=an:1149.41301}
\elib{https://elibrary.ru/item.asp?id=12844051}
\transl
\jour Math. Notes
\yr 2007
\vol 82
\issue 5
\pages 660--676
\crossref{https://doi.org/10.1134/S0001434607110090}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000252128700009}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-38349050517}
Linking options:
  • https://www.mathnet.ru/eng/mzm4086
  • https://doi.org/10.4213/mzm4086
  • https://www.mathnet.ru/eng/mzm/v82/i5/p736
  • This publication is cited in the following 1 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:451
    Full-text PDF :227
    References:31
    First page:9
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024