Estimates for Certain Integral Inequalities on (p, q)-calculus

Abstract

The aim of this paper is to derive a new quantum analogue of an integral identity by using (p, q)-calculus. As a consequence of this identity, some new estimates for Ostrowski type inequality for (p, q)- differentiable η-convex and η-quasi-convex functions are obtained. Moreover, some new estimates for Hermite-Hadamard type inequality for(p, q)- differentiable η-convex and η-quas-iconvex functions are given as well.