Trudy Matematicheskogo Instituta imeni V.A. Steklova
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

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2010, Volume 270, Pages 86–96 (Mi tm3012)  
This article is cited in 20 scientific papers (total in 20 papers)

Chebyshev's alternance in the approximation of constants by simple partial fractions

V. I. Danchenko, E. N. Kondakova

Chair of Functional Analysis and Its Applications, Vladimir State University, Vladimir, Russia
Full-text PDF (224 kB) Citations (20)
References:
PDF
HTML
Abstract: Uniform approximation of real constants by simple partial fractions on a closed interval of the real axis is studied. It is proved that a simple partial fraction of best approximation of degree $n$ for a constant is unique and coincides with this constant at $n$ nodes lying on the interval; moreover, there is a Chebyshev alternance consisting of $n+1$ points.
Received in February 2010
English version:
Proceedings of the Steklov Institute of Mathematics, 2010, Volume 270, Pages 80–90
DOI: https://doi.org/10.1134/S0081543810030065
Bibliographic databases:
Document Type: Article
UDC: 517.538.52+517.538.7
Language: Russian
Citation: V. I. Danchenko, E. N. Kondakova, “Chebyshev's alternance in the approximation of constants by simple partial fractions”, Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 270, MAIK Nauka/Interperiodica, Moscow, 2010, 86–96; Proc. Steklov Inst. Math., 270 (2010), 80–90
Citation in format AMSBIB
\Bibitem{DanKon10}
\by V.~I.~Danchenko, E.~N.~Kondakova
\paper Chebyshev's alternance in the approximation of constants by simple partial fractions
\inbook Differential equations and dynamical systems
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2010
\vol 270
\pages 86--96
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3012}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2768938}
\zmath{https://zbmath.org/?q=an:1214.41004}
\elib{https://elibrary.ru/item.asp?id=15249751}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2010
\vol 270
\pages 80--90
\crossref{https://doi.org/10.1134/S0081543810030065}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000282431700006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77957345162}
Linking options:
  • https://www.mathnet.ru/eng/tm3012
  • https://www.mathnet.ru/eng/tm/v270/p86
    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:626
    Full-text PDF :133
    References:103
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024