On Hermite-Hadamard type inequalities for generalized (s,m,ϕ)-preinvex functions via k-fractional integrals

Abstract

In the present paper, the notion of generalized (s,m,ϕ)-preinvex function is applied for establish some new Hermite-Hadamard type inequalities by using new identity for k-fractional Riemann-Liouville integrals. At the end, some applications to special means are given. These results provide new estimates on these Hermite-Hadamard type inequalities via k-fractional Riemann-Liouville integrals.