Sarikaya, Mehmet Zeki2025-10-112025-10-1120232602-4187https://hdl.handle.net/20.500.12684/21446In this study, we present a new generalization of the Hermite-Hadamard type inequalities for convex functions using a newly developed generalized an identity, which is rigorously proven. Moreover, we present new inequalities that are closely linked to both the left and right-hand side of the Hermite-Hadamard inequalities for Riemann and Riemann-Liouville fractional integrals. The results of this study build upon previous works and provide additional insights. © 2025 Elsevier B.V., All rights reserved.eninfo:eu-repo/semantics/closedAccessConvex FunctionHermite- Hadamard InequalityMidpoint InequalityTrapezoid InequalityArticle7129392-s2.0-85180703166N/A