In this paper, we give the generalized version of the quantum Simpson's and quantum
Newton's formula type inequalities via quantum differentiable α, m-convex functions. The …

In this paper, we establish a new variant of q-Hermite-Hadamard inequality for convex
functions via left and right q-integrals. Moreover, we prove some new q-midpoint and q …

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 work establishes some new inequalities to find error bounds for Maclaurin's formulas in
the framework of q-calculus. For this, we first prove an integral identity involving q-integral …

In this paper, we prove a new quantum integral equality involving a parameter, left and right
quantum derivatives. Then, we use the newly established equality and prove some new …

In this paper, we first establish two quantum integral (q-integral) identities with the help of
derivatives and integrals of the quantum types. Then, we prove some new q-midpoint and q …

In the present paper, q‐fractional integral operators are used to construct quantum analogue
of Ostrowski type inequalities for the class of s‐convex functions. The limiting cases include …

The main goal of the current study is to establish some new Milne's rule type inequalities for
single-time differentiable convex functions in the setting of quantum calculus. For this, we …

The main objective of this study is to establish two important right q-integral equalities
involving a right-quantum derivative with parameter m∈[0, 1]. Then, utilizing these …

In this paper, we conduct a research on a new version of the (p, q)-Hermite–Hadamard
inequality for convex functions in the framework of postquantum calculus. Moreover, we …