Sitthiwirattham, ThaninAli, Muhammad AamirBudak, Huseyin2024-08-232024-08-2320232504-3110https://doi.org/10.3390/fractalfract7080572https://hdl.handle.net/20.500.12684/13821This work establishes some new inequalities to find error bounds for Maclaurin's formulas in the framework of q-calculus. For this, we first prove an integral identity involving q-integral and q-derivative. Then, we use this new identity to prove some q-integral inequalities for q-differentiable convex functions. The inequalities proved here are very important in the literature because, with their help, we can find error bounds for Maclaurin's formula in both q and classical calculus.en10.3390/fractalfract7080572info:eu-repo/semantics/openAccessMaclaurin's inequalitiesHermite-Hadamard inequalitiesconvex functionsq-calculusIntegral-InequalitiesMidpointArticle782-s2.0-85169035685WOS:001056109400001Q2Q1