A comprehensive review of the Hermite–Hadamard inequality pertaining to quantum calculus

M Tariq, SK Ntouyas, AA Shaikh - Foundations, 2023 - mdpi.com
A review of results on Hermite–Hadamard (HH) type inequalities in quantum calculus,
associated with a variety of classes of convexities, is presented. In the various classes of …

Error bounds for fractional integral inequalities with applications

NA Alqahtani, S Qaisar, A Munir, M Naeem… - Fractal and …, 2024 - mdpi.com
Fractional calculus has been a concept used to obtain new variants of some well-known
integral inequalities. In this study, our main goal is to establish the new fractional Hermite …

On Hermite–Hadamard-Type Inequalities for Functions Satisfying Second-Order Differential Inequalities

I Aldawish, M Jleli, B Samet - Axioms, 2023 - mdpi.com
Hermite–Hadamard inequality is a double inequality that provides an upper and lower
bounds of the mean (integral) of a convex function over a certain interval. Moreover, the …

On q-Hermite-Hadamard Inequalities via qh-Integrals

Y Liu, G Farid, D Abuzaid, K Nonlaopon - Symmetry, 2022 - mdpi.com
This paper aims to find Hermite–Hadamard-type inequalities for a generalized notion of
integrals called q− h-integrals. Inequalities for q-integrals can be deduced by taking h= 0 …

[PDF][PDF] Generalizations of Simpson type inequality for (α, m)-convex functions

A Munira, H Budakb, I Faizc, S Qaisara - Filomat, 2024 - researchgate.net
Several scholars are interested in fractional operators with integral inequalities. Due to its
characteristics and wide range of applications in science, engineering fields, artificial …