Ifra Bashir SialNichaphat PatanarapeelertMuhammad Aamir AliHŸseyin BudakThanin Sitthiwirattham2025-03-102025-03-102022Axioms2075168010.3390/axioms110301322-s2.0-85127039296https://repository.dusit.ac.th//handle/123456789/4614In this paper, we establish a new integral identity involving differentiable functions, and then we use the newly established identity to prove some OstrowskiÐMercer-type inequalities for differentiable convex functions. It is also demonstrated that the newly established inequalities are generalizations of some of the Ostrowski inequalities established inside the literature. There are also some applications to the special means of real numbers given. © 2022 by the authors. Licensee MDPI, Basel, Switzerland.All Open Access; Gold Open Accessconvex functionsJensenÐMercer inequalityOstrowski inequalityArticleScopus