Some Hermite–Hadamard type inequalities for GA‐s‐convex functions in the fourth sense

Abstract

In the present manuscript, we define the concept of ‐ ‐convex functions in the fourth sense. We obtain the Hermite–Hadamard inequality for the newly introduced class of functions. We also establish some inequalities of the Hermite–Hadamard type for functions whose first derivative in absolute value at certain powers is a ‐ ‐convex function in the fourth sense. In the last, some applications to special means of real numbers are given.