Properties of h-convex functions related to the Hermite Hadamard Fejér inequalities

In this paper we prove the Hermite Hadamard Fejér 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.