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Matematicheskie Zametki, 1976, Volume 19, Issue 1, Pages 29–40 (Mi mzm7720)  

This article is cited in 25 scientific papers (total in 25 papers)

Best approximation of analytic functions from information about their values at a finite number of points

K. Yu. Osipenko

M. V. Lomonosov Moscow State University
Abstract: For a class of bounded and analytic functions defined in a simply connected region we construct the best linear method of approximation with respect to information about the values of the function at some points of the region. We show it is unique. We obtain limiting relations for the lower bound of the norm of the error of the best method on an arbitrary compacta with connected complement where the lower bound is taken with respect to nodes from the region of analyticity.
Received: 25.02.1974
English version:
Mathematical Notes, 1976, Volume 19, Issue 1, Pages 17–23
DOI: https://doi.org/10.1007/BF01147612
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: K. Yu. Osipenko, “Best approximation of analytic functions from information about their values at a finite number of points”, Mat. Zametki, 19:1 (1976), 29–40; Math. Notes, 19:1 (1976), 17–23
Citation in format AMSBIB
\Bibitem{Osi76}
\by K.~Yu.~Osipenko
\paper Best approximation of analytic functions from information about their values at a~finite number of points
\jour Mat. Zametki
\yr 1976
\vol 19
\issue 1
\pages 29--40
\mathnet{http://mi.mathnet.ru/mzm7720}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=454020}
\zmath{https://zbmath.org/?q=an:0328.30031}
\transl
\jour Math. Notes
\yr 1976
\vol 19
\issue 1
\pages 17--23
\crossref{https://doi.org/10.1007/BF01147612}
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  • This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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