Hezenci, FatihBudak, Huseyin2024-08-232024-08-2320240170-42141099-1476https://doi.org/10.1002/mma.10378https://hdl.handle.net/20.500.12684/14575The authors of the paper present a method to examine some Newton-type inequalities for various function classes using Riemann-Liouville fractional integrals. Namely, some fractional Newton-type inequalities are established by using convex functions. In addition, several fractional Newton-type inequalities are proved by using bounded functions by fractional integrals. Moreover, we construct some fractional Newton-type inequalities for Lipschitzian functions. Furthermore, several Newton-type inequalities are acquired by fractional integrals of bounded variation. Finally, we provide our results by using special cases of obtained theorems and examples.en10.1002/mma.10378info:eu-repo/semantics/openAccessbounded functionsconvex functionsLipschitzian functionsNewton-type inequalitiesSimpsonArticle2-s2.0-85200349952WOS:001283105000001Q1N/A