engleski

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 generalizations of the Hermite-Hadamard inequalties 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.

convex function ; h-convex function ; Hermite-Hadamard-Fejer inequalities ; mean of order p ; p-logarithmic mean

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