|
Abstract
|
In this paper, using important properties of uniformly convex functions, we prove several
types of fundamental inequalities as Jensen, its modification Jensen-Mercer, conversion of
Jensen inequality and the Hermite-Hadamard inequality for uniformly convex functions. As
applications of the main results we obtain new bounds for the joint entropy as well as new
estimates of the bounds involving p-logarithmic means and their particular cases.
|