Abstract In this paper, we have established some generalized inequalities of Hermite–Hadamard–Fejér type for integrals. The results obtained are applied fractional integrals various and therefore contain previous reported in the literature.

In this article, we define a new class of convexity called generalized $(h-m)$-convexity, which generalizes $h$-convexity and $m$-convexity on fractal sets $\mathbb{R}^{\alpha}$ $(0<\alpha\leq 1)$. Some properties are discussed. Using local fractional integrals Hermite-Hadamard (H-H) Fej\'er-Hermite-Hadamard (Fej\'er-H-H) types inequalities. We also obtained result the Fej\'er-H-H type for func...

The main results of this paper offer sufficient conditions in order that an approximate lower Hermite–Hadamard type inequality implies an approximate Jensen convexity property. The key for the proof of the main result is a Korovkin type theorem.

This paper contains a variety of new integral inequalities for (s,m)-convex functions using Caputo fractional derivatives and Caputo–Fabrizio operators. Various generalizations Hermite–Hadamard-type containing operators are derived those whose (s,m)-convex. Inequalities involving the digamma function special means deduced as applications.

In this work, various fractional convex inequalities of the Hermite–Hadamard type in interval analysis setting have been established, and new derived thereon. Recently defined p interval-valued convexity is utilized to obtain many inequalities. The results supplemented with suitable numerical examples. Our generalize some recently reported literature.

In this paper, the Hermite-Hadamard inequality for $p-$convex function is provided. Some integral inequalities them are also presented. Also, based on and double of sets, new functions defined under certain conditions, $p-$convexity these shown. expressed.

In this paper, we establish different variants of fractional Hermite-Hadamard inequalities for subadditive functions via Riemann-Liouville integrals. Moreover, offer some integral the product two It is also shown that offered in research are generalization already given convex and functions.

Abstract In this paper, we offer a new quantum integral identity, the result is then used to obtain some estimates of Hermite–Hadamard inequalities for integrals. The results presented in paper are generalizations comparable literature on inequalities. Several inequalities, such as midpoint-like inequality, Simpson-like averaged midpoint–trapezoid-like and trapezoid-like obtained special cases ...

Fractional integrals and inequalities have recently become quite popular been the prime consideration for many studies. The results of different types studied by launching innovative analytical techniques applications. These Hermite–Hadamard are discovered in this study using Atangana–Baleanu integral operators, which provide both practical powerful results. In paper, a symmetric type is provid...