Generalized Convex Envelopes of Sets and the Problem of Shadow

Verfasser / Beitragende:
[Yurii Zelinskii]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 211/5(2015-12-01), 710-717
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10958-015-2626-8  |2 doi 
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100 1 |a Zelinskii  |D Yurii  |u Institute of Mathematics of the NAS of Ukraine, Kiev, Ukraine  |4 aut 
245 1 0 |a Generalized Convex Envelopes of Sets and the Problem of Shadow  |h [Elektronische Daten]  |c [Yurii Zelinskii] 
520 3 |a The principal goal of the present work is to solve the problem of shadow for any convex set with nonempty interior in the n-dimensional Euclidean space and under the action of a group of transformations. This problem can be considered as the determination of conditions ensuring the membership of a point to a generalized convex envelope of the family of sets obtained from the initial set by the action of the group of transformations. 
540 |a Springer Science+Business Media New York, 2015 
690 7 |a Euclidean space  |2 nationallicence 
690 7 |a sphere  |2 nationallicence 
690 7 |a ball  |2 nationallicence 
690 7 |a convexity  |2 nationallicence 
690 7 |a linear convexity  |2 nationallicence 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 211/5(2015-12-01), 710-717  |x 1072-3374  |q 211:5<710  |1 2015  |2 211  |o 10958 
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950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 211/5(2015-12-01), 710-717  |x 1072-3374  |q 211:5<710  |1 2015  |2 211  |o 10958