Li, Yi-XiaAli, Muhammad AamirBudak, HuseyinAbbas, MujahidChu, Yu-Ming2021-12-012021-12-0120211687-1847https://doi.org/10.1186/s13662-021-03382-0https://hdl.handle.net/20.500.12684/10930In this paper, we offer a new quantum integral identity, the result is then used to obtain some new estimates of Hermite-Hadamard inequalities for quantum integrals. The results presented in this paper are generalizations of the comparable results in the literature on Hermite-Hadamard inequalities. Several inequalities, such as the midpoint-like integral inequality, the Simpson-like integral inequality, the averaged midpoint-trapezoid-like integral inequality, and the trapezoid-like integral inequality, are obtained as special cases of our main results.en10.1186/s13662-021-03382-0info:eu-repo/semantics/openAccessHermite–Hadamard inequalityTrapezoid inequalitiesMidpoint inequalitiesQuantum calculusConvex functionsHermite-Hadamard InequalitiesA new generalization of some quantum integral inequalities for quantum differentiable convex functionsArticle202112-s2.0-85105001243WOS:000646075900002Q2Q1