Pimchana SiricharuanunSamet ErdenMuhammad Aamir AliHŸseyin BudakSaowaluck ChasreechaiThanin Sitthiwirattham2025-03-102025-03-102021Mathematics2227739010.3390/math91619922-s2.0-85113585628https://repository.dusit.ac.th//handle/123456789/4695In this paper, using the notions of q_ 2-quantum integral and q_ 2-quantum derivative, we present some new identities that enable us to obtain new quantum SimpsonÕs and quantum NewtonÕs type inequalities for quantum differentiable convex functions. This paper, in particular, generalizes and expands previous findings in the field of quantum and classical integral inequalities obtained by various authors. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.All Open Access; Gold Open AccessConvex functionsNewtonÕs inequalitiesQuantum calculusSimpsonÕs inequalitiesArticleScopus