engleski

Inequalities for convex functions on simplexes and their cones

The aim of this paper is to present the fundamental inequalities for convex functions on Euclidean spaces. The work is based on the geometry of the simplest convex sets and properties of convex functions. Some obtained inequalities are applied to demonstrate a natural way of generalizing the Hermite-Hadamard inequality.

convex function; convex combination; convex cone; Jensen's inequality

nije evidentirano