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Matematicheskie Zametki, 1968, Volume 3, Issue 3, Pages 327–338 (Mi mzm6685)  
This article is cited in 11 scientific papers (total in 11 papers)

A relation between Jensen's inequality and a geometrical problem

V. I. Berdyshev

V. A. Steklov Institute of Mathematics, Sverdlovsk Branch of the Academy of Sciences of USSR
Full-text PDF (699 kB) Citations (11)
Abstract: A relation is established between Jensen's inequality and a problem suggested by H. Jung concerning the size of the smallest sphere containing a set of given diameter. An estimate is obtained of the size of this sphere in terms of the absolute value of the convexity of the space.
Received: 12.06.1967
English version:
Mathematical Notes, 1968, Volume 3, Issue 3, Pages 206–213
DOI: https://doi.org/10.1007/BF01387336
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. I. Berdyshev, “A relation between Jensen's inequality and a geometrical problem”, Mat. Zametki, 3:3 (1968), 327–338; Math. Notes, 3:3 (1968), 206–213
Citation in format AMSBIB
\Bibitem{Ber68}
\by V.~I.~Berdyshev
\paper A~relation between Jensen's inequality and a~geometrical problem
\jour Mat. Zametki
\yr 1968
\vol 3
\issue 3
\pages 327--338
\mathnet{http://mi.mathnet.ru/mzm6685}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=230021}
\zmath{https://zbmath.org/?q=an:0179.45603|0179.45602}
\transl
\jour Math. Notes
\yr 1968
\vol 3
\issue 3
\pages 206--213
\crossref{https://doi.org/10.1007/BF01387336}
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  • https://www.mathnet.ru/eng/mzm/v3/i3/p327
    • This publication is cited in the following 11 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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