- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 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 Latif, Sabir Hussain
Pages : 1543-1555
Doi:10.31801/cfsuasmas.422991
View : 7 | Download : 7
Publication Date : 2019-08-01
Article Type : Research
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