Sarikaya, Mehmet Zeki2025-10-112025-10-1120242147-625Xhttps://hdl.handle.net/20.500.12684/21440This paper aims to present a new refinement of the Jensen inequality specifically for convex functions. Building on this refinement, the paper derives various related inequalities, with a particular focus on Bullen’s inequality and Ostrowski’s inequality. Furthermore, it explores practical applications of these derived inequalities in the context of mean inequalities, providing a deeper understanding and broader utility of these mathematical concepts. © 2024 Elsevier B.V., All rights reserved.eninfo:eu-repo/semantics/closedAccessBullen InequalityConvex FunctionJensen InequalityOstrowski Inequality And Special MeansArticle1221121192-s2.0-85208640846N/A