Hezenci, FatiBudak, HüseyinKösem, Pinar2024-08-232024-08-2320230035-75961945-3795https://doi.org/10.1216/rmj.2023.53.49https://hdl.handle.net/20.500.12684/14041We establish some Newton's type inequalities in the case of differentiable convex functions through the well-known Riemann-Liouville fractional integrals. Furthermore, we give an example with graph and present the validity of the newly obtained inequalities. Finally, we give some inequalities of Riemann-Liouville fractional Newton's type for functions of bounded variation.en10.1216/rmj.2023.53.49info:eu-repo/semantics/closedAccessSimpson's 3 8 formulafractional calculusconvex functionsHadamard-Type InequalitiesConvex-FunctionsSimpsons TypeArticle53149642-s2.0-85162824323WOS:000994147900005Q2Q2