Mathematics of the USSR-Sbornik
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. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Mathematics of the USSR-Sbornik, 1980, Volume 36, Issue 2, Pages 203–212
DOI: https://doi.org/10.1070/SM1980v036n02ABEH001783 (Mi sm2292) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Rate of approximation of piecewise-analytic functions by rational fractions in the $L_p$-metrics, $0<p\leqslant\infty$

N. S. Vyacheslavov
English version PDF (523 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM1980v036n02ABEH001783
Abstract: In this paper estimates are found for $L_pR_n(f)$ – the least deviation in the $L_p$-metric, $0<p\leqslant\infty$, of a piecewise analytic function $f$ from the rational functions of degree at most $n$. It is shown that these estimates are sharp in a well-defined sense.
Bibliography: 13 titles.
Received: 15.06.1978
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1979, Volume 108(150), Number 2, Pages 219–228
Bibliographic databases:
UDC: 517.53
MSC: 41A25, 41A20
Language: English
Original paper language: Russian
Citation: N. S. Vyacheslavov, “Rate of approximation of piecewise-analytic functions by rational fractions in the $L_p$-metrics, $0<p\leqslant\infty$”, Mat. Sb. (N.S.), 108(150):2 (1979), 219–228; Math. USSR-Sb., 36:2 (1980), 203–212
Citation in format AMSBIB
\Bibitem{Vya79}
\by N.~S.~Vyacheslavov
\paper Rate of approximation of piecewise-analytic functions by rational fractions in the $L_p$-metrics, $0<p\leqslant\infty$
\jour Mat. Sb. (N.S.)
\yr 1979
\vol 108(150)
\issue 2
\pages 219--228
\mathnet{http://mi.mathnet.ru/sm2292}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=525839}
\zmath{https://zbmath.org/?q=an:0433.41006|0399.41011}
\transl
\jour Math. USSR-Sb.
\yr 1980
\vol 36
\issue 2
\pages 203--212
\crossref{https://doi.org/10.1070/SM1980v036n02ABEH001783}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980KM22500005}
Linking options:
  • https://www.mathnet.ru/eng/sm2292
  • https://doi.org/10.1070/SM1980v036n02ABEH001783
  • https://www.mathnet.ru/eng/sm/v150/i2/p219
    • 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
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:319
    Russian version PDF:102
    English version PDF:13
    References:37
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024