Thanin SitthiwiratthamGhulam MurtazaMuhammad Aamir AliChanon PromsakonIfra Bashir SialPraveen Agarwal2025-03-102025-03-102022Axioms2075168010.3390/axioms110200462-s2.0-85123413160https://repository.dusit.ac.th//handle/123456789/4608In 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. © 2022 by the authors. Licensee MDPI, Basel, Switzerland.All Open Access; Gold Open Access(p, q)-calculusConvex functionsHermiteÐHadamard inequalityArticleScopus