In this paper, we establish a new (p,q)-integral identity using twice (p,q)-differentiable convex functions. Then, we use this result to derive some new post-quantum Ostrowski-type integral inequalities for twice (p,q)-differentiable convex functions. The newly established results are also proven to generalize some existing results in the area of integral inequalities of already published ones.

In this paper, we establish a new post quantum integral identity for twice $(p,q)$-differentiable convex functions. Then, we use this result to derive some new post quantum Ostrowski-type inequalities for twice $(p,q)$-differentiable convex functions involving $(p,q)_a$- and $(p,q)^b$-integrals. The newly established results are also proven to be generalizations of some existing results in the field of integral inequalities of already published ones.

In this study, we use quantum calculus to prove Hermite-Hadamard and Ostrowski type inequalities for s-convex functions in the second sense. The newly proven results are also shown to be an extension of comparable results in the literature, like the results of [1, 12, 16]. Furthermore, it is provided that how the newly discovered inequalities can be applied to special means of real numbers.