Budak, HuseyinBas, UmutKara, HasanHezenci, Fatih2025-10-112025-10-1120251787-24051787-2413https://doi.org/10.18514/MMN.2025.4592https://hdl.handle.net/20.500.12684/21664In this research, we establish the above and below bounds via the left and right sides of Hermite-Hadamard-type inequalities including conformable fractional integrals with the aid of the mappings whose second derivatives are bounded. Instead of using the convexity condition [] in these obtained inequalities, we used condition f ' (a + b-t)-f ' (t) >= 0, t E a, a+b 2 . We have presented examples of the inequalities acquired. We have given the graph showing the correctness of the presented examples.en10.18514/MMN.2025.4592info:eu-repo/semantics/openAccessHermite-Hadamard inequalityconformable fractional integralsbounded functionsArticle2611151362-s2.0-105008026173WOS:001545633100009Q2Q2