Thanin SitthiwiratthamMuhammad Aamir AliHŸseyin Budak2025-03-102025-03-102023Fractal and Fractional2504311010.3390/fractalfract70805722-s2.0-85169035685https://repository.dusit.ac.th//handle/123456789/4517This work establishes some new inequalities to find error bounds for MaclaurinÕs 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 MaclaurinÕs formula in both q and classical calculus. © 2023 by the authors.All Open Access; Gold Open Accessconvex functionsHermiteÐHadamard inequalitiesMaclaurinÕs inequalitiesq-calculusArticleScopus