On estimates for solutions of systems of convex inequalities
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 9, pp. 1486-1492
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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.
@article{ZVMMF_2015_55_9_a3,
author = {A. V. Arutyunov and S. E. Zhukovskiy},
title = {On estimates for solutions of systems of convex inequalities},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1486--1492},
publisher = {mathdoc},
volume = {55},
number = {9},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_9_a3/}
}
TY - JOUR AU - A. V. Arutyunov AU - S. E. Zhukovskiy TI - On estimates for solutions of systems of convex inequalities JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2015 SP - 1486 EP - 1492 VL - 55 IS - 9 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_9_a3/ LA - ru ID - ZVMMF_2015_55_9_a3 ER -
%0 Journal Article %A A. V. Arutyunov %A S. E. Zhukovskiy %T On estimates for solutions of systems of convex inequalities %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2015 %P 1486-1492 %V 55 %N 9 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_9_a3/ %G ru %F ZVMMF_2015_55_9_a3
A. V. Arutyunov; S. E. Zhukovskiy. On estimates for solutions of systems of convex inequalities. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 9, pp. 1486-1492. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_9_a3/