Thanin SitthiwiratthamMuhammad Aamir AliJarunee Soontharanon2025-03-102025-03-102023Filomat354518010.2298/FIL2318883S2-s2.0-85152015639https://repository.dusit.ac.th//handle/123456789/4552The main goal of this paper is to establish some error bounds for MaclaurinÕs formula which is three point quadrature formula using the notions of q-calculus. For this, we first prove a q-integral identity involving fist time q-differentiable functions. Then, by using the new established identity we find the error bounds for maclaurinÕs formula by using the convexity of fist time q-differentiable functions. It is also shown that the newly established inequalities are extension of some existing inequalities inside the literature. © 2023, University of Nis. All rights reserved.All Open Access; Gold Open Accessconvex functionsMaclaurinÕs formulaq-calculusArticleScopus