Convex combination inequalities of the line and plane

Zlatko Pavić, Shanhe Wu, Štefanija Klarić

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The paper deals with convex combinations, convex functions, and Jensen's functionals. The main idea of this work is to present the given convex combination by using two other convex combinations with minimal number of points. For example, as regards the presentation of the planar combination, we use two trinomial combinations. Generalizations to higher dimensions are also considered.

Original languageEnglish
Article number916243
Pages (from-to)1-7
Number of pages7
JournalAbstract and Applied Analysis
Publication statusPublished - 16 Nov 2014
Externally publishedYes

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