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Matematicheskie Zametki, 1974, Volume 16, Issue 3, Pages 501–511 (Mi mzm7486)  
This article is cited in 1 scientific paper (total in 1 paper)

Operator of best approximation on finite-dimensional subspaces

V. I. Berdyshev

Institute of Mathematics and Mechanics, Ural Science Center, Academy of Sciences of the USSR
Full-text PDF (744 kB) Citations (1)
Abstract: The modulus of continuity of the operator of best approximation on a subspace tends towards zero uniformly on the class of all subspaces of an n-dimensional space only if the unit ball of the space contains no extremal subsets of dimensionality $k$ ($0<k<n-1$).
Received: 21.01.1974
English version:
Mathematical Notes, 1974, Volume 16, Issue 3, Pages 888–893
DOI: https://doi.org/10.1007/BF01148141
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. I. Berdyshev, “Operator of best approximation on finite-dimensional subspaces”, Mat. Zametki, 16:3 (1974), 501–511; Math. Notes, 16:3 (1974), 888–893
Citation in format AMSBIB
\Bibitem{Ber74}
\by V.~I.~Berdyshev
\paper Operator of best approximation on finite-dimensional subspaces
\jour Mat. Zametki
\yr 1974
\vol 16
\issue 3
\pages 501--511
\mathnet{http://mi.mathnet.ru/mzm7486}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=367534}
\zmath{https://zbmath.org/?q=an:0305.41016}
\transl
\jour Math. Notes
\yr 1974
\vol 16
\issue 3
\pages 888--893
\crossref{https://doi.org/10.1007/BF01148141}
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  • https://www.mathnet.ru/eng/mzm/v16/i3/p501
    • 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
    		Математические заметки Mathematical Notes
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