Ifra Bashir SialMuhammad Aamir AliGhulam MurtazaSotiris K. NtouyasJarunee SoontharanonThanin Sitthiwirattham2025-03-102025-03-102021Symmetry2073899410.3390/sym131018642-s2.0-85116943945https://repository.dusit.ac.th//handle/123456789/4680In this paper, we establish some new HermiteÐHadamard type inequalities for preinvex functions and left-right estimates of newly established inequalities for (p, q)-differentiable preinvex functions in the context of (p, q)-calculus. We also show that the results established in this paper are generalizations of comparable results in the literature of integral inequalities. Analytic inequalities of this nature and especially the techniques involved have applications in various areas in which symmetry plays a prominent role. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.All Open Access; Gold Open Access(p, q)-integralConvex functionHermiteÐhadamard inequalityPost quantum calculusArticleScopus