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

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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