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Matematicheskie Zametki, 1970, Volume 8, Issue 3, Pages 329–338 (Mi mzm9568)  

This article is cited in 1 scientific paper (total in 1 paper)

Influence of geometric properties of space on the convergence of Cauchy's method in the best-approximation problem

V. I. Berdyshev

Sverdlovsk Branch, V. A. Steklov Mathematics Institute, Academy of Sciences of the USSR
Full-text PDF (885 kB) Citations (1)
Abstract: The reciprocity of certain geometrical properties of finite-dimensional Banach space is established. The role of these properties in the construction of best-approximation elements by Cauchy's method is investigated.
Received: 18.03.1969
English version:
Mathematical Notes, 1970, Volume 8, Issue 3, Pages 657–662
DOI: https://doi.org/10.1007/BF01159061
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: V. I. Berdyshev, “Influence of geometric properties of space on the convergence of Cauchy's method in the best-approximation problem”, Mat. Zametki, 8:3 (1970), 329–338; Math. Notes, 8:3 (1970), 657–662
Citation in format AMSBIB
\Bibitem{Ber70}
\by V.~I.~Berdyshev
\paper Influence of geometric properties of space on the convergence of Cauchy's method in the best-approximation problem
\jour Mat. Zametki
\yr 1970
\vol 8
\issue 3
\pages 329--338
\mathnet{http://mi.mathnet.ru/mzm9568}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=277977}
\zmath{https://zbmath.org/?q=an:0208.14602}
\transl
\jour Math. Notes
\yr 1970
\vol 8
\issue 3
\pages 657--662
\crossref{https://doi.org/10.1007/BF01159061}
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  • https://www.mathnet.ru/eng/mzm/v8/i3/p329
  • 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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    Full-text PDF :69
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