You, Xue XiaoHezenci, FatihBudak, HüseyinKara, Hasan2023-07-262023-07-2620222473-6988https://doi.org/10.3934/math.2022218https://hdl.handle.net/20.500.12684/12831Fractional versions of Simpson inequalities for differentiable convex functions are extensively researched. However, Simpson type inequalities for twice differentiable functions are also investigated slightly. Hence, we establish a new identity for twice differentiable functions. Furthermore, by utilizing generalized fractional integrals, we prove several Simpson type inequalities for functions whose second derivatives in absolute value are convex.en10.3934/math.2022218info:eu-repo/semantics/openAccessSimpson Type Inequalities; Generalized Fractional Integrals; Convex FunctionsHadamard-Type Inequalities; Convex-FunctionsArticle73395939712-s2.0-85121028052WOS:000753857500022Q2Q1