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Matematicheskie Zametki, 1968, Volume 3, Issue 2, Pages 157–164 (Mi mzm6662)  

This article is cited in 13 scientific papers (total in 14 papers)

Best approximation of a differentiation operator in $L_2$-space

Yu. N. Subbotin, L. V. Taikov

V. A. Steklov Institute of Mathematics, Sverdlovsk Branch of the Academy of Sciences of USSR
Abstract: This paper contains the magnitude of the best approximation in the $L_2$-sense of a $k$-th order differentiation operator of a bounded linear operator $A(f)$ which acts on the class of functions which are differentiable $n$ times.
Received: 16.10.1967
English version:
Mathematical Notes, 1968, Volume 3, Issue 2, Pages 106–109
DOI: https://doi.org/10.1007/BF01094328
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: Yu. N. Subbotin, L. V. Taikov, “Best approximation of a differentiation operator in $L_2$-space”, Mat. Zametki, 3:2 (1968), 157–164; Math. Notes, 3:2 (1968), 106–109
Citation in format AMSBIB
\Bibitem{SubTai68}
\by Yu.~N.~Subbotin, L.~V.~Taikov
\paper Best approximation of a~differentiation operator in $L_2$-space
\jour Mat. Zametki
\yr 1968
\vol 3
\issue 2
\pages 157--164
\mathnet{http://mi.mathnet.ru/mzm6662}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=228892}
\zmath{https://zbmath.org/?q=an:0172.40004}
\transl
\jour Math. Notes
\yr 1968
\vol 3
\issue 2
\pages 106--109
\crossref{https://doi.org/10.1007/BF01094328}
Linking options:
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  • https://www.mathnet.ru/eng/mzm/v3/i2/p157
  • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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