Ali, M. A.Alp, N.Budak, H.Agarwal, P.2021-12-012021-12-01202109713611https://doi.org/10.1007/s41478-021-00323-8https://hdl.handle.net/20.500.12684/9936In this paper, we first obtain a new identity for q?2-quantum integrals by using Green function, the result is then used to establish some new bounds for the right hand side of q?2-Hermite Hadamard inequality. It is also revealed that the results presented in this research transformed into some already proved results by considering the limits as q? 1 - in the newly obtained results. © 2021, Forum D'Analystes, Chennai.en10.1007/s41478-021-00323-8info:eu-repo/semantics/closedAccessConvex functionsGreen functionHermite–Hadamard inequalityq-integralQuantum calculusArticle2-s2.0-85105948725WOS:000765821900002Q3