Post-Quantum Midpoint-Type Inequalities Associated with Twice-Differentiable Functions

Abstract

In this study, first we establish a p,q-integral identity involving the second p,q-derivative, and then, we use this result to prove some new midpoint-type inequalities for twice-p,q-differentiable convex functions. It is also shown that the newly established results are the refinements of the comparable results in the literature.