Abstract Local fractional integral inequalities of Hermite-Hadamard type involving local operators with Mittag-Leffler kernel have been previously studied for generalized convexities and preinvexities. In this article, we analyze Hermite-Hadamard-type via ( h <m:mo...

By Hölder's integral inequality, the authors establish some Hermite-Hadamard type integral inequalities for n-times differentiable and geometrically quasi-convex functions.

The aim of the present paper is to extend the classical Hermite-Hadamard inequality to the case when the convexity notion is induced by a Chebyshev system.

The left Hermite-Hadamard inequality of several variables for convex functions on certain convex compact sets is proved via elementary approach, independently of Choquet theory.

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...

In this article, a new general integral identity involving generalized fractional integral operators is established. With the help of this identity new Hermite-Hadamard type inequalities are obtained for functions whose absolute values of derivatives are convex. As a consequence, the main results of this paper generalize the existing Hermite-Hadamard type inequalities involving the Riemann-Liou...

In this paper we prove some inequalities for convex function of a higher order. The well known Hermite interpolating polynomial leads us to a converse of Jensen inequality for a regular, signed measure and, as a consequence, a generalization of Hadamard and Petrovi c's inequalities. Also, we obtain a new upper bound for the error function of the Hermite interpolating polynomial je H (x)j in ter...

The term convexity associated with the theory of inequality in sense fractional analysis has a broad range different and remarkable applications domain applied sciences. prime objective this article is to investigate some new variants Hermite–Hadamard Pachpatte-type integral inequalities involving idea preinvex function frame operator, namely Caputo–Fabrizio operator. By employing our approach,...

In this paper, the author introduced the concept of generalized harmonically convex function on fractal sets Rα(0 < α 6 1) of real line numbers and established generalized Hermite-Hadamard’s inequalities for generalized harmonically convex function. Then, by creating a local fractional integral identity, obtained some Hermite-Hadamard type inequalities of these classes of functions. c ©2017 All...

Abstract In both theoretical and applied mathematics fields, integral inequalities play a critical role. Due to the behavior of definition convexity, concepts convexity inequality depend on each other. Therefore, relationship between symmetry is strong. Whichever one we work on, introduced new class generalized convex function known as LR- $$\left({h}_{1}, {h}_{2}\right)$$ <mml:math xmlns:mml="...