Abstract:
In the present study, we discuss some types of the Hermite-Hadamard (H-H) fractional integral inequality, with Riemann-Liouville fractional integral for functions whose absolute values of the first derivatives to positive real powers (AVFDPRP) are s-geometrically convex. That was concluded for geometrically convex as well. As an application, by using special mean of real numbers, H-H inequalities with ordinary integral were generalized for functions whose (AVFDPRP) are geometrically convex or s-geometrically convex.