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, 2008, Volume 84, Issue 4, Pages 583–594
DOI: https://doi.org/10.4213/mzm4103 (Mi mzm4103) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Approximation by the Class of Functions with Bounded Second Derivative

A. V. Mironenko

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (474 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm4103
Abstract: The paper studies the problem of uniform approximation of a continuous function on a closed interval by the class of functions with bounded second derivative. We prove an estimate of the value of best approximation of the function by this class via its second modulus of continuity. The obtained estimate is sharp for the class of continuous functions.
Keywords: continuous function, best approximation of a function, modulus of continuity, alternance, spline, absolutely continuous function, Lipschitz function, divided difference.
Received: 16.04.2007
English version:
Mathematical Notes, 2008, Volume 84, Issue 4, Pages 544–554
DOI: https://doi.org/10.1134/S0001434608090265
Bibliographic databases:
UDC: 517.518
Language: Russian
Citation: A. V. Mironenko, “Approximation by the Class of Functions with Bounded Second Derivative”, Mat. Zametki, 84:4 (2008), 583–594; Math. Notes, 84:4 (2008), 544–554
Citation in format AMSBIB
\Bibitem{Mir08}
\by A.~V.~Mironenko
\paper Approximation by the Class of Functions with Bounded Second Derivative
\jour Mat. Zametki
\yr 2008
\vol 84
\issue 4
\pages 583--594
\mathnet{http://mi.mathnet.ru/mzm4103}
\crossref{https://doi.org/10.4213/mzm4103}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2485198}
\zmath{https://zbmath.org/?q=an:1163.41003}
\transl
\jour Math. Notes
\yr 2008
\vol 84
\issue 4
\pages 544--554
\crossref{https://doi.org/10.1134/S0001434608090265}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000260516700026}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-55149083805}
Linking options:
  • https://www.mathnet.ru/eng/mzm4103
  • https://doi.org/10.4213/mzm4103
  • https://www.mathnet.ru/eng/mzm/v84/i4/p583
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024