Ali, Muhammad AamirBudak, HuseyinMurtaza, GhulamChu, Yu-Ming2021-12-012021-12-0120211029-242Xhttps://doi.org/10.1186/s13660-021-02619-6https://hdl.handle.net/20.500.12684/10813In this research, we introduce the notions of (p, q)-derivative and integral for interval-valued functions and discuss their fundamental properties. After that, we prove some new inequalities of Hermite-Hadamard type for interval-valued convex functions employing the newly defined integral and derivative. Moreover, we find the estimates for the newly proved inequalities of Hermite-Hadamard type. It is also shown that the results proved in this study are the generalization of some already proved research in the field of Hermite-Hadamard inequalities.en10.1186/s13660-021-02619-6info:eu-repo/semantics/openAccessHermite-Hadamard inequality(p, q)-integralQuantum calculusInterval-valued calculusInterval-valued convex functionsIntegral-InequalitiesCalculusArticle202112-s2.0-85105049205WOS:000655454500003Q2Q1