Kara, HasanBudak, Hüseyin2021-12-012021-12-0120210035-50381827-3491https://doi.org/10.1007/s11587-021-00662-5https://hdl.handle.net/20.500.12684/10114In this paper, we first introduce four new generalized quantum integrals of two variables functions which are called T-q-integrals. We also give some examples of each of these given integrals. Then we establish corresponding T-q-Hermite-Hadamard type inequalities for co-ordinated convex functions. In order to show correctness of our results, we apply our main theorems to several co-ordinated convex functions.en10.1007/s11587-021-00662-5info:eu-repo/semantics/closedAccessHermite-Hadamard inequalityq-integralT-q-integralQuantum calculusCo-ordinated convexityConvex-FunctionsRectangleArticle2-s2.0-85117148829WOS:000707551800001Q3Q2