Saowaluck ChasreechaiMuhammad Aamir AliSurapol NaowaratThanin SitthiwiratthamKamsing Nonlaopon2025-03-102025-03-102023AIMS Mathematics2473698810.3934/math.20231932-s2.0-85143206679https://repository.dusit.ac.th//handle/123456789/4579In this paper, we establish an integral equality involving a multiplicative differentiable function for the multiplicative integral. Then, we use the newly established equality to prove some new SimpsonÕs and NewtonÕs inequalities for multiplicative differentiable functions. Finally, we give some mathematical examples to show the validation of newly established inequalities. © 2023 the Author(s), licensee AIMS Press.All Open Access; Gold Open Accessconvex functionsmultiplicative calculusNewtonÕs inequalitiesSimpsonÕs inequalitiesArticleScopus