Koksaldi, GamzenurTunc, Tuba2025-10-112025-10-1120251687-2770https://doi.org/10.1186/s13661-025-02040-8https://hdl.handle.net/20.500.12684/21724In this study, the above and below bounds for Simpson-type inequalities concerning generalized fractional integrals are established through functions with bounded second derivatives. In addition, we also determined inequalities for special cases of our results and provided examples of these cases with their graphical representations.en10.1186/s13661-025-02040-8info:eu-repo/semantics/openAccessSimpson's type inequalityIntegral inequalitiesGeneralized fractional integralsBounded second derivativesSimpson-type inequalities for the functions with bounded second derivatives involving generalized fractional integralsArticle202512-s2.0-105001523080WOS:001458906400001Q1Q1