Abstract The Hermite–Hadamard inequality was first considered for convex functions and
has been studied extensively. Recently, many extensions were given with the use of general …

The purpose of this work is to present the quantum Hermite–Hadamard inequality through
the Green function approach. While doing this, we deduce some novel quantum identities …

We first establish two new identities, based on the kernel functions with either two section or
three sections, involving quantum integrals by using new definition of quantum derivative …

In this paper, we prove the correct q-Hermite–Hadamard inequality, some new q-Hermite–
Hadamard inequalities, and generalized q-Hermite–Hadamard inequality. By using the left …

In this research, we derive two generalized integral identities involving the q ϰ 2
q^\varkappa_2-quantum integrals and quantum numbers, the results are then used to …

In this article, by using the notion of newly defined q 1 q 2 derivatives and integrals, some
new Simpson's type inequalities for coordinated convex functions are proved. The outcomes …

In this paper, we obtain Hermite–Hadamard-type inequalities of convex functions by
applying the notion of qb q^b-integral. We prove some new inequalities related with right …

In this paper, we establish quantum analogue of classical integral identity. Using this
identity, we derive some quantum estimates for Hermite–Hadamard inequalities for q …

In this paper, some of the most important integral inequalities of analysis are extended to
quantum calculus. These include the Hölder, Hermite-Hadamard, trapezoid, Ostrowski …

A function f: I→ R,/0= I⊆ R, is said to be convex on I if inequality f (tx+(1− t) y)≤ tf (x)+(1− t) f
(y), holds for all x, y∈ I and t∈[0, 1]. Many inequalities have been established for convex …