Midconvexity for finite sets

doi:10.1186/1029-242X-2013-42

Midconvexity for finite sets

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Midconvexity for finite sets

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dc.contributor.author	Misztal, Krzysztof [SAP14000847]	pl
dc.contributor.author	Tabor, Jacek [SAP11017416]	pl
dc.contributor.author	Tabor, Józef	pl
dc.date.accessioned	2014-07-16T05:09:34Z
dc.date.available	2014-07-16T05:09:34Z
dc.date.issued	2013	pl
dc.identifier.issn	1025-5834	pl
dc.identifier.uri	http://ruj.uj.edu.pl/xmlui/handle/item/55
dc.language	eng	pl
dc.rights	Udzielam licencji. Uznanie autorstwa 3.0 Polska	*
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/pl/legalcode	*
dc.title	Midconvexity for finite sets	pl
dc.type	JournalArticle	pl
dc.abstract.en	Let X be a finite subset of a real vector space. We study Jensen-type convexity on subsets of X. In particular for subsets of X, we introduce the definition of X-midconvex sets. We show that such a notion corresponds well to the classical notion of a convex set. Moreover, we prove that a function X-midconvex set is a midconvex hull of all its extremal points. Other analogues of some classical results are also given. At the end we present an algorithmic approach to finding the midconvex hull of a given set.	pl
dc.subject.en	midconvex set	pl
dc.subject.en	midconvex function	pl
dc.subject.en	midconvex hull	pl
dc.description.volume	2013	pl
dc.description.publication	1	pl
dc.identifier.doi	10.1186/1029-242X-2013-42	pl
dc.identifier.eissn	1029-242X	pl
dc.title.journal	Journal of Inequalities and Applications	pl
dc.language.container	eng	pl
dc.affiliation	Wydział Matematyki i Informatyki : Instytut Informatyki i Matematyki Komputerowej	pl
dc.subtype	Article	pl
dc.identifier.articleid	42	pl
dc.rights.original	CC-BY; otwarte czasopismo; ostateczna wersja wydawcy; w momencie opublikowania; 0;	pl
.pointsMNiSW	[2013 A]: 30