Miguel J. Vivas-CortezMuhammad Aamir AliShahid QaisarIfra Bashir SialSinchai JansemAbdul Mateen2025-03-102025-03-102021Symmetry2073899410.3390/sym131224192-s2.0-85121500088https://repository.dusit.ac.th//handle/123456789/4700In this work, we prove a new (p, q)-integral identity involving a (p, q)-derivative and (p, q)-integral. The newly established identity is then used to show some new SimpsonÕs formula type inequalities for (p, q)-differentiable convex functions. Finally, the newly discovered results are shown to be refinements of comparable results in the literature. Analytic inequalities of this type, as well as the techniques used to solve them, have applications in a variety of fields where symmetry is important. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.All Open Access; Gold Open AccessConvex functionsPost-quantum calculusSimpsonÕs inequalitiesArticleScopus