Alp, NecmettinSarikaya, Mehmet Zeki2021-12-012021-12-0120211687-1847https://doi.org/10.1186/s13662-021-03514-6https://hdl.handle.net/20.500.12684/10219The aim of this work is to obtain quantum estimates for q-Hardy type integral inequalities on quantum calculus. For this, we establish new identities including quantum derivatives and quantum numbers. After that, we prove a generalized q-Minkowski integral inequality. Finally, with the help of the obtained equalities and the generalized q-Minkowski integral inequality, we obtain the results we want. The outcomes presented in this paper are q-extensions and q-generalizations of the comparable results in the literature on inequalities. Additionally, by taking the limit q -> 1(-), our results give classical results on the Hardy inequality.en10.1186/s13662-021-03514-6info:eu-repo/semantics/openAccessHardy inequalityOpial inequalityHolder's inequalityConvex-FunctionsArticle202112-s2.0-85111537787WOS:000681386300004N/AQ1