Xue-Xiao YouMuhammad Aamir AliHumaira KalsoomJarunee SoontharanonThanin Sitthiwirattham2025-03-102025-03-102022Open Mathematics2391545510.1515/math-2022-00372-s2.0-85137836507https://repository.dusit.ac.th//handle/123456789/4638In this study, we establish some new Hermite-Hadamard type inequalities for s-convex functions in the second sense using the post-quantum calculus. Moreover, we prove a new (p, q)\left(p,q)-integral identity to prove some new Ostrowski type inequalities for (p, q)\left(p,q)-differentiable functions. We also show that the newly discovered results are generalizations of comparable results in the literature. Finally, we give application to special means of real numbers using the newly proved inequalities. © 2022 Xue-Xiao You et al., published by De Gruyter.All Open Access; Gold Open Access(p, q)-integralHermite-Hadamard inequalityOstrowski inequalitypost-quantum calculuss-convex functionsArticleScopus