In this paper, we present a generalized Jensen-type inequality for generalized harmonically
convex function on the fractal sets, and a generalized Jensen–Mercer inequality involving …

Based on the Riemann–Liouville fractional integral, a new form of generalized Simpson‐
type inequalities in terms of the first derivative is discussed. Here, some more inequalities for …

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 …

Jensen's inequality is one of the fundamental inequalities which has several applications in
almost every field of science. In 2003, Mercer gave a variant of Jensen's inequality which is …

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 …

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, the idea and its algebraic properties of n–polynomial exponential type p–
convex function have been investigated. Authors prove new trapezium type inequality for …