In this paper, the Hermite-Hadamard inequality for $p-$convex function is provided. Some integral inequalities them are also presented. Also, based on and double of sets, new functions defined under certain conditions, $p-$convexity these shown. expressed.

Abstract The Hermite-Hadamard inequality is regarded as one of the most favorable inequalities from research point view. Currently, mathematicians are working on extending, improving, and generalizing this inequality. This article presents conticrete Hermite-Hadamard-Jensen-Mercer type in weighted unweighted forms by using idea majorization convexity together with generalized conformable fracti...

The principal motivation of this paper is to establish a new integral equality related k-Riemann Liouville fractional operator. Employing equality, we present several inequalities for twice differentiable convex functions that are associated with Hermite–Hadamard inequality. Additionally, some novel cases the established results different kinds derived. This sums up Riemann–Liouville and Hermit...

In this study, we investigated the general convexity of functions which is named preinvexity. Firstly, generalized Hermite-Hadamard type integral inequality for two-dimensional preinvex functions. Then, obtained a generalization Ostrowski Besides, derived some new inequalities related to these

Fej'{e}r  Hadamard  inequality is generalization of Hadamard inequality. In this paper we prove certain Fej'{e}r  Hadamard  inequalities for $k$-fractional integrals. We deduce Fej'{e}r  Hadamard-type  inequalities for Riemann-Liouville fractional integrals. Also as special case Hadamard inequalities for $k$-fractional as well as fractional integrals are given.

In this paper, by applying the new and improved form of Hölder’s integral inequality called Hölder—Íşcan three inequalities Hermite—Hadamard Hadamard type for (h, d)—convex functions have been established. Various special cases including classes instance, h—convex, s—convex function Breckner Godunova—Levin—Dragomir strong versions aforementioned types convex identified. Some applications to err...

In this paper, the definition of harmonically cr-h-convex function is given, and its important properties are discussed. Jensen type inequality, Hermite–Hadamard inequalities Fejér for functions also established. addition, some numerical examples given to verify accuracy results.

Abstract In this paper, we have established some generalized inequalities of Hermite–Hadamard–Fejér type for integrals. The results obtained are applied fractional integrals various and therefore contain previous reported in the literature.