Benaissa, BouharketAzzouz, NoureddineHezenci, Fatih2026-07-012026-07-0120260377-04271879-1778https://doi.org/10.1016/j.cam.2025.117267https://hdl.handle.net/20.500.12684/23619This research formulates Boole-type inequalities for h-convex functions using Riemann integrals. The subject matter is a new variant of the established Boole-type inequalities for twice differentiable functions, applying two basic identities and using simple computations based on the B-function. The first result is involving the power-mean integral inequality, and the second is via H & ouml;lder inequality. Additionally, new results on Boole-type inequalities are established for special classes of convex functions, such as s-convex functions and P-functions.en10.1016/j.cam.2025.117267info:eu-repo/semantics/closedAccessH-Convex FunctionBoole-Type InequalityB-FunctionTwice Differentiable FunctionsArticle4812-s2.0-105025667813WOS:001655526200001Q1Q10000-0003-1008-5856