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Matematicheskie Zametki, 1970, Volume 8, Issue 5, Pages 583–594 (Mi mzm7006)  

This article is cited in 6 scientific papers (total in 6 papers)

The existence of a best approximating element in $(F)$-space with integral metric

A. L. Garkavi

V. V. Kuibyshev Military Engineering Academy
Full-text PDF (869 kB) Citations (6)
Abstract: The existence is proved of a best approximation element in finite-dimensional subspaces of linear metric spaces of a class containing, in particular, the space $S[0,1]$ of measurable functions.
Received: 12.02.1970
English version:
Mathematical Notes, 1970, Volume 8, Issue 5, Pages 797–802
DOI: https://doi.org/10.1007/BF01146935
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: A. L. Garkavi, “The existence of a best approximating element in $(F)$-space with integral metric”, Mat. Zametki, 8:5 (1970), 583–594; Math. Notes, 8:5 (1970), 797–802
Citation in format AMSBIB
\Bibitem{Gar70}
\by A.~L.~Garkavi
\paper The existence of a~best approximating element in $(F)$-space with integral metric
\jour Mat. Zametki
\yr 1970
\vol 8
\issue 5
\pages 583--594
\mathnet{http://mi.mathnet.ru/mzm7006}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=276713}
\zmath{https://zbmath.org/?q=an:0234.46017}
\transl
\jour Math. Notes
\yr 1970
\vol 8
\issue 5
\pages 797--802
\crossref{https://doi.org/10.1007/BF01146935}
Linking options:
  • https://www.mathnet.ru/eng/mzm7006
  • https://www.mathnet.ru/eng/mzm/v8/i5/p583
  • This publication is cited in the following 6 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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    Abstract page:399
    Full-text PDF :172
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