Thanin SitthiwiratthamMuhammad Aamir AliHŸseyin BudakSaowaluck Chasreechai2025-03-102025-03-102021AIMS Mathematics2473698810.3934/math.20216952-s2.0-85113267949https://repository.dusit.ac.th//handle/123456789/4742In this paper, we introduce the notions of q-mean square integral for stochastic processes and co-ordinated stochastic processes. Furthermore, we establish some new quantum Hermite-Hadamard type inequalities for convex stochastic processes and co-ordinated stochastic processes via newly defined integrals. It is also revealed that the results presented in this research transformed into some already proved results by considering the limits as q; q1; q2 ! 1 in the newly obtained results. © 2021 the Author(s), licensee AIMS Press.All Open Access; Gold Open AccessConvex stochastic processesHermite-Hadamard inequalityJensen inequalityArticleScopus