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Sibirskii Zhurnal Industrial'noi Matematiki, 2005, Volume 8, Number 4, Pages 91–99
(Mi sjim278)
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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
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
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
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https://www.mathnet.ru/eng/sjim278 https://www.mathnet.ru/eng/sjim/v8/i4/p91
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Abstract page: | 285 | Full-text PDF : | 95 | References: | 49 |
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