- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Volume:68 Issue:2
- Some generalized Hermite-Hadamard type inequalities by using the harmonic convexity of differentiabl...
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 : 14 | Download : 7
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 Hadamards inequality, convex function, harmonic convex function