Chanon PromsakonMuhammad Aamir AliHŸseyin BudakMujahid AbbasFaheem MuhammadThanin Sitthiwirattham2025-03-102025-03-102021AIMS Mathematics2473698810.3934/math.20218072-s2.0-85115886015https://repository.dusit.ac.th//handle/123456789/4720In this paper, we prove two identities concerning quantum derivatives, quantum integrals, and some parameters. Using the newly proved identities, we prove new SimpsonÕs and NewtonÕs type inequalities for quantum differentiable convex functions with two and three parameters, respectively. We also look at the special cases of our key findings and find some new and old SimpsonÕs type inequalities, NewtonÕs type inequalities, midpoint type inequalities, and trapezoidal type inequalities. © 2021 the Author(s), licensee AIMS Press.All Open Access; Gold Open AccessConvex functionsNewtonÕs inequalitiesQuantum calculusSimpsonÕs inequalitiesArticleScopus