Sitthiwirattham, ThaninAli, Muhammad AamirBudak, HüseyinEtemad, SinaRezapour, Shahram2023-07-262023-07-2620221687-2770https://doi.org/10.1186/s13661-022-01665-3https://hdl.handle.net/20.500.12684/12696In this paper, we conduct a research on a new version of the (p, q)-Hermite-Hadamard inequality for convex functions in the framework of postquantum calculus. Moreover, we derive several estimates for (p, q)-midpoint and (p, q)-trapezoidal inequalities for special (p, q)-differentiable functions by using the notions of left and right (p, q)-derivatives. Our newly obtained inequalities are extensions of some existing inequalities in other studies. Lastly, we consider some mathematical examples for some (p, q)-functions to confirm the correctness of newly established results.en10.1186/s13661-022-01665-3info:eu-repo/semantics/openAccessQ-Calculus; (P,Q)-Hermite-Hadamard Inequality; (P,Q)-Calculus; Convex FunctionsDifferentiable Mappings; Integral-Inequalities; Real Numbers; ConvexArticle202212-s2.0-85141630503WOS:000885078900001Q3Q1