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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 9, Pages 1486–1492
DOI: https://doi.org/10.7868/S0044466915070030 (Mi zvmmf10261) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On estimates for solutions of systems of convex inequalities

A. V. Arutyunov, S. E. Zhukovskiy

Peoples' Friendship University of Russia, ul. Miklukho-Maklaya 6, Moscow, 119198, Russia
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DOI: https://doi.org/10.7868/S0044466915070030
Abstract: The distance from a given point to the solution set of a system of strict and nonstrict inequalities described by convex functions is estimated. As consequences, estimates for the distance from a given point to the Lebesgue set of a convex function are obtained and sufficient conditions for convex-valued set-valued mappings to be covering are established.
Key words: convex functions, systems of convex inequalities, estimates for distances to a set.
Received: 12.11.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 9, Pages 1444–1450
DOI: https://doi.org/10.1134/S0965542515070039
Bibliographic databases:
Document Type: Article
UDC: 519.642.8
Language: Russian
Citation: A. V. Arutyunov, S. E. Zhukovskiy, “On estimates for solutions of systems of convex inequalities”, Zh. Vychisl. Mat. Mat. Fiz., 55:9 (2015), 1486–1492; Comput. Math. Math. Phys., 55:9 (2015), 1444–1450
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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