Hermite-Hadamard's Integral Inequalities of (a, s)-GA- and (a, s, m)-GA-Convex Functions

In this paper, the authors propose the notions of (alpha,s)-geometric-arithmetically convex functions and (alpha,s,m)-geometric-arithmetically convex functions, while they establish some new integral inequalities of the Hermite-Hadamard type for (alpha,s)-geometric-arithmetically convex functions and for (alpha,s,m)-geometric-arithmetically convex functions.