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 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, we first prove an identity for twice quantum differentiable functions. Then, by
utilizing the convexity of∣ D q 2 bf∣ and∣ D q 2 af∣, we establish some quantum …

In this paper, we first obtain prove two new identities for the quantum integrals. Then we
establish Trapezoid and Midpoint type inequalities for quantum integrals defined by …

Some quantum integral inequalities via preinvex functions - ScienceDirect Skip to main
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In this investigation, we demonstrate the quantum version of Montgomery identity for the
functions of two variables. Then we use the result to derive some new Ostrowski-type …

Some recent results have been found treating the famous Simpson's rule in connection with
the convexity property of functions and those called generalized convex. The purpose of this …