Properties of h-convex functions related to the Hermite-Hadamard-Fejer inequalities
In this paper we prove the Hermite-Hadamard-Fejer inequalities for an h-convex function and we point out the results for some special classes of functions. Also, some generalization of the Hermite-Hadamard inequalities and some properties of functions H and F which are naturally joined to the h-convex function are given. Finally, applications on p-logarithmic mean and mean of the order p are obtained. (C) 2009 Elsevier Ltd. All rights reserved.
h-convex function hermite-hadamard-fejer inequalities p-logarithmic mean convex function mean of order p