Hermite-Hadamard type fractional integral inequalities for generalized (s,m,φ)-preinvex functions

Abstract

In the present paper, by using new identity for fractional integrals some new estimates on generalizations of Hermite-Hadamard type inequalities for the class of generalized (s,m,φ)-preinvex functions via Riemann-Liouville fractional integral are established. These results not only extend the results appeared in the literature (see [2]), but also provide new estimates on these types. At the end, some applications to special means are given.

Keywords

• Hermite-Hadamard inequality,Hölder’s inequality,power mean inequality,Riemann-Liouville fractional integral,s-convex in the second sense,m-invex

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