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, 2013, Volume 93, Issue 6, Pages 878–901
DOI: https://doi.org/10.4213/mzm9288 (Mi mzm9288) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Approximation of Periodic Functions Using $\mathrm{mup}_s(x)$

V. A. Makarichev

National Aerospace University "Kharkiv Aviation Institute"
Full-text PDF (538 kB) Citations (8)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm9288
Abstract: The spaces of linear combinations of the shifts of a compactly supported solution of a functional-differential equation are considered. It is proved that they are asymptotically extremal for approximating, in the norm of $L_2$, functions from the classes $\widetilde{W}_2^r$.
Keywords: approximation of periodic functions, the classes $\widetilde{W}_2^r$, functional-differential equation, the function $mup_s(x)$, basis function, Taylor series, linear operator.
Received: 18.11.2011
Revised: 07.05.2012
English version:
Mathematical Notes, 2013, Volume 93, Issue 6, Pages 858–880
DOI: https://doi.org/10.1134/S0001434613050258
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: V. A. Makarichev, “Approximation of Periodic Functions Using $\mathrm{mup}_s(x)$”, Mat. Zametki, 93:6 (2013), 878–901; Math. Notes, 93:6 (2013), 858–880
Citation in format AMSBIB
\Bibitem{Mak13}
\by V.~A.~Makarichev
\paper Approximation of Periodic Functions Using $\mathrm{mup}_s(x)$
\jour Mat. Zametki
\yr 2013
\vol 93
\issue 6
\pages 878--901
\mathnet{http://mi.mathnet.ru/mzm9288}
\crossref{https://doi.org/10.4213/mzm9288}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3206038}
\zmath{https://zbmath.org/?q=an:06198929}
\elib{https://elibrary.ru/item.asp?id=20731745}
\transl
\jour Math. Notes
\yr 2013
\vol 93
\issue 6
\pages 858--880
\crossref{https://doi.org/10.1134/S0001434613050258}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000321274300025}
\elib{https://elibrary.ru/item.asp?id=20438990}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84879773243}
Linking options:
  • https://www.mathnet.ru/eng/mzm9288
  • https://doi.org/10.4213/mzm9288
  • https://www.mathnet.ru/eng/mzm/v93/i6/p878
    • This publication is cited in the following 8 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:381
    Full-text PDF :163
    References:69
    First page:37
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024