摘要:Under the new concept of s- $( lpha,m)$ -convex functions, we obtain some new Hermite–Hadamard inequalities with an s- $( lpha,m)$ -convex function. We use these inequalities to estimate Riemann–Liouville fractional integrals with second-order differentiable convex functions to enrich the Hermite–Hadamard-type inequalities. We give some applications to special means.