New post quantum analogues of Ostrowski-type inequalities using new definitions of left–right $(p,q)$-derivatives and definite integrals

The main objective of this paper is to introduce a new more elegant notion of left–right $(p,q)$-derivative and definite integrals. To show the significance of these concepts, we discuss some of their basic properties. A new generalized $(p,q)$-integral identity is also obtained. Utilizing this identity as an auxiliary result we then obtain our main results using the concept of n-polynomial convex functions.