We establish some estimates of the right-hand side of Hermite-Hadamard type inequalities for functions whose derivatives absolute values are harmonically s-convex. Several Hermite-Hadamard type inequalities for products of two harmonically s-convex functions are also considered.

Abstract In this work, we established some new general integral inequalities of Hermite–Hadamard type for s -convex functions. To obtain these inequalities, used the Hölder inequality, power-mean and generalizations associated with inequalities. Also compared (e.g., Theorem 6 8). Finally, gave applications special means.

In this paper, by using Jensen–Mercer’s inequality we obtain Hermite–Hadamard–Mercer’s type inequalities for a convex function employing left-sided (k, ψ)-proportional fractional integral operators involving continuous strictly increasing function. Our findings are generalization of some results that existed in the literature.

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 manuscript, we introduce concepts of (m1,m2)-logarithmically convex (AG-convex) functions and establish some Hermite-Hadamard type inequalities of these classes of functions.

Abstract There are a lot of papers dealing with applications the so-called cyclic refinement discrete Jensen’s inequality. A significant generalization refinement, based on combinatorial considerations, has recently been discovered by author. In present paper we give integral versions these results. On one hand, new method to refine inequality is developed. other result contains some recent ref...

We establish various fractional convex inequalities of the Hermite–Hadamard type with addition to many other inequalities. Various types such are obtained, as (p,h) inequality and others, (p,h)-convexity is generalization As a consequence (h,m)-convexity, (s,m)-type obtained. Many consequences generalizations

In this study, the Hermite–Hadamard–Fejér inequalities for GA-h-convex are proved, and results particular classes of functions highlighted. addition, several generalizations Hermite–Hadamard presented. Some features H F that naturally linked to Hermite–Hadamard–Fejér-type have also been discussed. Finally, we obtain applications related p-logarithmic mean order p.