engleski

Convex combination inequalities of the line and plane

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.

convex combination center ; binomial convex combination ; trinomial convex combination ; Jensen's inequality ; Jensen's functional

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