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Matematicheskie Zametki, 1975, Volume 17, Issue 3, Pages 359–368 (Mi mzm7552)  
This article is cited in 47 scientific papers (total in 47 papers)

Best approximation of functions specified with an error at a finite number of points

A. G. Marchuk, K. Yu. Osipenko

M. V. Lomonosov Moscow State University
Full-text PDF (555 kB) Citations (47)
Abstract: It is proved that for convex and centrally symmetric classes of functions a linear method is included among the best (in a definite sense) methods of approximation from values specified with an error at a finite number of points. For some of the simplest classes linear best methods are constructed and their error is estimated.
Received: 09.04.1974
English version:
Mathematical Notes, 1975, Volume 17, Issue 3, Pages 207–212
DOI: https://doi.org/10.1007/BF01149008
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: A. G. Marchuk, K. Yu. Osipenko, “Best approximation of functions specified with an error at a finite number of points”, Mat. Zametki, 17:3 (1975), 359–368; Math. Notes, 17:3 (1975), 207–212
Citation in format AMSBIB
\Bibitem{MarOsi75}
\by A.~G.~Marchuk, K.~Yu.~Osipenko
\paper Best approximation of functions specified with an~error at a~finite number of points
\jour Mat. Zametki
\yr 1975
\vol 17
\issue 3
\pages 359--368
\mathnet{http://mi.mathnet.ru/mzm7552}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=407503}
\zmath{https://zbmath.org/?q=an:0373.41021|0364.41018}
\transl
\jour Math. Notes
\yr 1975
\vol 17
\issue 3
\pages 207--212
\crossref{https://doi.org/10.1007/BF01149008}
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    • This publication is cited in the following 47 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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