Kara, HasanBudak, HuseyinAlp, NecmettinKalsoom, HumairaSarikaya, Mehmet Zeki2021-12-012021-12-0120211029-242Xhttps://doi.org/10.1186/s13660-021-02715-7https://hdl.handle.net/20.500.12684/10382In this article, we introduce a new concept of quantum integrals which is called T-kappa 2(q)-integral. Then we prove several properties of this concept of quantum integrals. Moreover, we present several Hermite-Hadamard type inequalities for T-kappa 2(q)-integral by utilizing differentiable convex functions. The results presented in this article are unification and generalization of the comparable results in the literature.en10.1186/s13660-021-02715-7info:eu-repo/semantics/openAccessHermite-Hadamard's inequalitiesConvex functionsq-integralsConvexArticle202112-s2.0-85118263210WOS:000712969000002Q2Q1