Communications of the
Korean Mathematical Society CKMS

In the paper, several properties of geometric-arithmetically $s$-convex functions are provided, an integral identity in which the integrands are products of a function and a derivative is found, and then some inequalities of Hermite-Hadamard type for integrals whose integrands are products of a derivative and a function whose derivative is of the geometric-arithmetic $s$-convexity are established.

Keywords: property, identity, Hermite-Hadamard integral inequality, geometric-arithmetically $s$-convex function

MSC numbers: Primary 26D15; Secondary 26A51, 41A55