Zuo, XuewuButt, Saad IhsanUmar, MuhammadBudak, HüseyinAli, Muhammad AamirDolgy, Dmitry V.2024-08-232024-08-2320232073-8994https://doi.org/10.3390/sym15081576https://hdl.handle.net/20.500.12684/13800The striking goal of this study is to introduce a q-identity for a parameterized integral operator via differentiable function. First, we discover the parameterized lemma for the q-integral. After that, we provide several q-differentiable inequalities. By taking suitable choices, some interesting results are obtained. With all of these, we displayed the findings from the traditional analysis utilizing q & RARR;1-.en10.3390/sym15081576info:eu-repo/semantics/openAccessquantum derivativequantum integralquantum inequalitiesHolder inequalitypower mean inequalityIntegral-InequalitiesMidpointConvexArticle1582-s2.0-85168866819WOS:001057457300001Q2Q2