Hezenci, Fatih2024-08-232024-08-2320240354-5180https://doi.org/10.2298/FIL2409275Hhttps://hdl.handle.net/20.500.12684/13891In this paper, it is given an equality for twice-differentiable functions whose second derivatives in absolute value are convex. By using this equality, it is established several left and right Hermite- Hadamard type inequalities and Simpson type inequalities for the case of Riemann-Liouville fractional integral. Namely, midpoint, trapezoid and also Simpson type inequalities are obtained for Riemann- Liouville fractional integral by using special cases of main results.en10.2298/FIL2409275Hinfo:eu-repo/semantics/closedAccessHermite-Hadamard inequalitySimpson inequalityFractional integral operatorsConvex functionTwice differentiable functionMidpoint-Type InequalitiesHadamard-Type InequalitiesHermite-HadamardReal NumbersSimpson TypeMappingsArticle389327532942-s2.0-85189097593WOS:001193633800001Q3N/A