We present new Mercer variants of Hermite-Hadamard (HH) type inequalities via Atangana-
Baleanu (AB) fractional integral operators pertaining non-local and non-singular kernels. We …

The most notable inequality pertaining convex functions is Jensen's inequality which has
tremendous applications in several fields. Mercer introduced an important variant of …

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

Recently, developments and extensions of quadrature inequalities in quantum calculus
have been extensively studied. As a result, several quantum extensions of Simpson's and …

In this study, we present some new refinements of the Jensen inequality with the help of
majorization results. We use the concept of convexity along with the theory of majorization …

In 2003, Mercer presented an interesting variation of Jensen's inequality called Jensen–
Mercer inequality for convex function. In the present paper, by employing harmonically …

This research focuses on the Ostrowski–Mercer inequalities, which are presented as
variants of Jensen's inequality for differentiable convex functions. The main findings were …

Fractal analysis is a totally new area of research based on local fractional calculus. It has
interesting applications in various fields such as a complex graph, computer graphics, the …

In this paper, we have established some new Hermite–Hadamard–Mercer type of
inequalities by using κ–Riemann–Liouville fractional integrals. Moreover, we have derived …

The aim of this article is to obtain new Hermite–Hadamard–Mercer-type inequalities using
Raina's fractional integral operators. We present some distinct and novel fractional Hermite …