On midpoint and trapezoid type inequalities for multiplicative integrals

Abstract

We establish some Hermite-Hadamard type inequalities for multiplicative convex functions. First, we obtain two equality for $^{\ast }$ differentiable functions. Then using these inequalities and multiplicative convex functions, we establish some inequalities related to the right and left hand side of Hermite-Hadamard inequality for multiplicative integrals.