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.

Hermite–Hadamard inequality is a double that provides an upper and lower bounds of the mean (integral) convex function over certain interval. Moreover, convexity can be characterized by each two sides this inequality. On other hand, it well known twice differentiable convex, if only admits nonnegative second-order derivative. In paper, we obtain characterization class functions (including funct...

In this paper, we extend some estimates of a Hermite-Hadamard type inequality for functions whose absolute values the first derivatives are $p$-convex. By means obtained inequalities, bound involving beta and hypergeometric derived as applications. Also, suggest an upper error in numerical integration $p$-convex via composite trapezoid rule.

In the present paper we establish some integral inequalities analogous to the wellknown Hadamard inequality for a class of generalized weighted quasi-arithmetic means in integral form.

The aim of this research is to explore fractional integral inequalities that involve interval-valued preinvex functions. Initially, a new set operators introduced uses the extended generalized Mittag-Leffler function Eμ,α,lγ,δ,k,c(τ;p) as kernel in interval domain. Additionally, form Atangana–Baleanu operator defined using same kernel, which unifies multiple existing operators. By varying param...

In this article, a general integral identity for twice differentiable mapping involving fractional integral operators is derived. As a second, by using this identity we obtained some new generalized Hermite-Hadamards type inequalities for functions whose absolute values of second derivatives are s-convex and concave. The main results generalize the existing Hermite-Hadamard type inequalities in...