Korus, PeterValdes, Juan Eduardo Napoles2024-11-012024-11-012023-06-01https://doi.org/10.3390/axioms12060517https://hdl.handle.net/11452/47299In this study, we present new variants of the Hermite-Hadamard inequality via non-conformable fractional integrals. These inequalities are proven for convex functions and differentiable functions whose derivatives in absolute value are generally convex. Our main results are established using the classical Jensen-Mercer inequality and its variants for (h,m)-convex modified functions proven in this paper. In addition to showing that our results support previously known results from the literature, we provide examples of their application.eninfo:eu-repo/semantics/closedAccessRefinementsConvex functions(h, m)-convex functionsJensen-mercer inequalityHermite-hadamard inequalityHlder inequality, power mean inequalityNon-conformable fractional operatorsScience & technologyPhysical sciencesMathematics, appliedMathematicsArticle00103333160000112610.3390/axioms12060517