In this study, some inequalities of Hermite-Hadamard type for integrals arising in conformable fractional calculus are presented. fact, the obtained not only valid those calculus, but more general as well. Numerous known versions recovered special cases. We also illustrate our findings via applications to modified Bessel functions, means, and midpoint approximations.

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.

Many researchers have been attracted to the study of convex analysis theory due both facts, theoretical significance, and applications in optimization, economics, other fields, which has led numerous improvements extensions subject over years. An essential part mathematical inequalities is function its extensions. In recent past, Jensen–Mercer inequality Hermite–Hadamard–Mercer type remained a ...

In this work, we introduce the idea of n –polynomial harmonically id="M4"> s –type convex function. We elaborate new introduced by examples and some interesting algebraic properties. As a result, Hermite–Hadamard, refinements Hermite–Hadamard Ostrowski type integral inequalities are established, which generalize...

The goal of this study is to create new variations the well-known Hermite–Hadamard inequality (HH-inequality) for preinvex interval-valued functions (preinvex I-V-Fs). We develop several additional inequalities class whose product I-V-Fs. findings described here would be generalizations those found in previous studies. Finally, we obtain Hermite–Hadamard–Fejér with support functions. Some and c...

In this article, we get solutions of some integral inequalities Hermite-Hadamard type and using the approach ($\psi$,$h$)-Convex function by way Riemann-Liouville Fractional integrals Katugampola operators.

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...