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Sibirskii Zhurnal Industrial'noi Matematiki, 2005, Volume 8, Number 4, Pages 91–99 (Mi sjim278)  
This article is cited in 4 scientific papers (total in 4 papers)

The infima of functionals of a special kind on a compact convex set

V. Ya. Prudnikov

Khabarovsk State University of Technology
Full-text PDF (225 kB) Citations (4)
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Abstract: It is proved that the infimum of the ratio of a concave functional and a convex functional is attained at the extreme points of a compact convex set in a normed linear space. A criterion for the membership of a given element in the set of extreme points is proposed and the existence of a strongly convex functional on a compact set is shown.
Received: 24.01.2005
Revised: 05.05.2005
English version:
Journal of Applied and Industrial Mathematics, 2007, Volume 1, Issue 2, Pages 217–224
DOI: https://doi.org/10.1134/S1990478907020123
Bibliographic databases:
UDC: 519.85
Language: Russian
Citation: V. Ya. Prudnikov, “The infima of functionals of a special kind on a compact convex set”, Sib. Zh. Ind. Mat., 8:4 (2005), 91–99; J. Appl. Industr. Math., 1:2 (2007), 217–224
Citation in format AMSBIB
\Bibitem{Pru05}
\by V.~Ya.~Prudnikov
\paper The infima of functionals of a~special kind on a~compact convex set
\jour Sib. Zh. Ind. Mat.
\yr 2005
\vol 8
\issue 4
\pages 91--99
\mathnet{http://mi.mathnet.ru/sjim278}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2213912}
\zmath{https://zbmath.org/?q=an:1107.46007}
\transl
\jour J. Appl. Industr. Math.
\yr 2007
\vol 1
\issue 2
\pages 217--224
\crossref{https://doi.org/10.1134/S1990478907020123}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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