Zoya AbdullahAwais YousafChanon PromsakonThanin Sitthiwirattham2025-03-102025-03-102024Miskolc Mathematical Notes1787240510.18514/MMN.2024.43002-s2.0-85196058311https://repository.dusit.ac.th//handle/123456789/4506In this paper, we establish a new version of HermiteÐHadamard type inequality for convex functions. Moreover, we establish a general version of q-integral identity involving qdifferentiable functions to prove some new q-midpoint and q-trapezoidal type inequalities for q-differentiable convex functions. It is also shown that the newly established inequalities can be converted into some existing inequalities within the literature. Finally, we add some mathematical examples to show the validation of newly established inequalities. © 2024 The Author(s). Published by Miskolc University Press. This is an open access article under the license CC BY 4.0.All Open Access; Gold Open Access; Green Open Accessconvex functionsHermite-Hadamard inequalitymidpoint inequalitiestrapezoid inequalitiesArticleScopus