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.

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 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.

Abstract We introduce new time scales on $\mathbb{Z}$ Z . Based this, we investigate the discrete inequality of Hermite–Hadamard type for convex functions. Finally, improve our result to fractional functions involving left nabla and right delta sums.

Abstract The main aim of this paper is establishing some new Volterra–Fredholm and Hermite–Hadamard-type fractional integral inequalities, which can be used as auxiliary tools in the study solutions to differential equations equations. Applications are also given explicate availability our results.

In this paper, we introduce and study the concept of exponential type P-function establish Hermite-Hadamard's inequalities for functions. addition, obtain some new Hermite-Hadamard functions whose first derivative in absolute value is by using Hölder power-mean integral inequalities. We also extend our initial results to several variables. Next, point out applications give estimates approximati...