In the present study, fractional variants of Hermite–Hadamard, Hermite–Hadamard–Fejér,
and Pachpatte inequalities are studied by employing Mercer concept. Firstly, new Hermite …

The objective of the current article is to incorporate the concepts of convexity and Jensen-
Mercer inequality with the Caputo-Fabrizio fractional integral operator. Moreover, we present …

Many scholars have recently become interested in establishing integral inequalities using
various known fractional operators. Fractional calculus has grown in popularity as a result of …

Fractional operators with integral inequalities have attracted the interest of several
mathematicians. Fractional inequalities are best utilized in mathematical science with their …

The purpose of this article is to construction Hermite-Hadamard type inequalities via Caputo-
Fabrizio fractional integral for s-convex function. The results are applied to fractional …

In this research, we demonstrate novel Hermite–Hadamard–Mercer fractional integral
inequalities using a wide class of fractional integral operators (the Raina fractional operator) …

In this study, we present new variants of the Hermite–Hadamard inequality via non-
conformable fractional integrals. These inequalities are proven for convex functions and …

In this work, we establish new integral inequalities of Hermite–Hadamard type, within the
framework of generalized integrals, which contain the Riemann–Liouville fractional integrals …

The main motivation of this study is to present new Hermite-Hadamard (HH) type
inequalities via a certain fractional operators. We establish two new identities and give new …

This article presents new developments and applications of Jensen's inequality. We explore
various variations of Jensen's inequality related to modified $(h, m) $-convex functions. The …