Convex Combination Inequalities of the Line and Plane

الملخص EN

The paper deals with convex combinations, convex functions, andJensen’s functionals.

The main idea of this work is to present the given convexcombination by using two other convex combinations with minimal number ofpoints.

For example, as regards the presentation of the planar combination, weuse two trinomial combinations.

Generalizations to higher dimensions are alsoconsidered.