Some generalized Hermite-Hadamard type inequalities by using the harmonic convexity of differentiable mappings

Authors : Muhammad Amer LATİF, Sabir HUSSAİN

Pages : 1543-1555

Doi:10.31801/cfsuasmas.422991

View : 20 | Download : 9

Publication Date : 2019-08-01

Article Type : Research Paper

Abstract :In this paper, a general identity involving a di¤erentiable mapping  is established. By using mathematical analysis, Hölder inequality and some  auxiliary results, new generalized Hermite Hadamard type inequalities for dif ferentiable harmonically-convex functions are established. It is expected that  the results established in this paper contain previously established results as special cases.
Keywords : Hermite Hadamard’s inequality, convex function, harmonic convex function