Properties of h h -convex functions related to the HermiteHadamardFejr inequalities
In this paper we prove the HermiteHadamardFejr inequalities for an h h -convex function and we point out the results for some special classes of functions. Also, some generalization of the HermiteHadamard inequalities and some properties of functions H H and F F which are naturally joined to the h h -convex function are given. Finally, applications on p p -logarithmic mean and mean of the order p p are obtained.
hermitehadamardfejr inequalities convex function h h -convex function h h h h h mean of order p p p p p p p p p -logarithmic mean p p p p p