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Midconvexity for finite sets


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

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Udzielam licencji. Uznanie autorstwa 3.0 Polska Except where otherwise noted, this item's license is described as Udzielam licencji. Uznanie autorstwa 3.0 Polska