Hezenci, FatihBudak, Hüseyin2024-08-232024-08-2320230035-75961945-3795https://doi.org/10.1216/rmj.2023.53.1117https://hdl.handle.net/20.500.12684/14045We derive an identity for twice-differentiable functions whose second derivatives are convex. By using this equality, we establish some perturbed Newton type inequalities for twice-differentiable convex functions, which we investigate by using Riemann-Liouville fractional integrals. Furthermore, we present our results by using special cases of the obtained theorems.en10.1216/rmj.2023.53.1117info:eu-repo/semantics/closedAccessNewton type inequalitiesfractional calculusconvex functionsArticle534111711272-s2.0-85172769084WOS:001071325400008Q2Q2