Ali, Muhammad AamirBudak, HuseyinAbbas, MujahidChu, Yu-Ming2021-12-012021-12-0120211687-1847https://doi.org/10.1186/s13662-020-03163-1https://hdl.handle.net/20.500.12684/10866In this paper, we obtain Hermite-Hadamard-type inequalities of convex functions by applying the notion of qb-integral. We prove some new inequalities related with right-hand sides of qb-Hermite-Hadamard inequalities for differentiable functions with convex absolute values of second derivatives. The results presented in this paper are a unification and generalization of the comparable results in the literature on Hermite-Hadamard inequalities.en10.1186/s13662-020-03163-1info:eu-repo/semantics/openAccessHermite-Hadamard inequalityq-integralQuantum calculusConvex functionArticle202112-s2.0-85098854601WOS:000608040100002Q2Q1