SOME GENERALIZED HERMITE-HADAMARD TYPE INEQUALITIES BY USING THE HARMONIC CONVEXITY OF DIFFERENTIABLE MAPPINGS

Abstract

In this paper, a general identity involving a di§erentiable mappingis established. By using mathematical analysis, Hˆlder inequality and someauxiliary results, new generalized Hermite-Hadamard type inequalities for differentiable harmonically-convex functions are established. It is expected thatthe results established in this paper contain previously established results asspecial cases.