Some fractional Hermite-Hadamard-type integral inequalities with s-(α, m)-convex functions and their applications

Under the new concept of s-(alpha, m)-convex functions, we obtain some new Hermite-Hadamard inequalities with an s-(alpha, 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.