Demir, İzzettın2025-10-112025-10-1120232602-4187https://hdl.handle.net/20.500.12684/21445In this study, we prove many integral inequalities associated with the Milne-type integral inequalities for proportional Caputo-hybrid operator with the use of the identity given by Demir [12]. Firstly, we establish some Milne-type inequalities for bounded mappings with proportional Caputo-hybrid operator. Moreover, we give several Milne-type inequalities by using the properties of Lipschitz condition and bounded variation with the help of proportional Caputo-hybrid operator. We observe that the acquired outcomes improve and generalize certain of the previous findings in the field of integral inequalities. © 2024 Elsevier B.V., All rights reserved.eninfo:eu-repo/semantics/closedAccessBounded FunctionConvex FunctionsFunction Of Bounded VariationMilne-type InequalitiesProportional Caputo-hybrid OperatorArticle7247612-s2.0-85209722973N/A