Unal, CihanHezenci, FatihBudak, Huseyin2026-04-252026-04-2520251005-10311993-0445https://doi.org/10.1007/s11766-025-5194-9https://hdl.handle.net/11486/8218The manuscript's authors examine some Milne-type inequalities for various function classes. Firstly, some Milne-type inequalities are established for differentiable convex functions by using Riemann-Liouville integrals. Secondly, we provide some fractional Milne-type inequalities for bounded functions by fractional integrals. Afterwards, we offer several Milne-type inequalities for Lipschitzian functions. Likewise, we offers Milne-type inequalities by fractional integrals of bounded variation. Finally, we demonstrate the correctness of our results by using special cases and examples of the obtained theorems.eninfo:eu-repo/semantics/closedAccessMilne-type inequalitiesquadrature formulaeopen Newton-Cotes formulasArticle40491693610.1007/s11766-025-5194-92-s2.0-105027385777Q3WOS:001660445000014Q20000-0001-8843-955X