Definition, Existence, Negativity, and Integral Inequalities of Hermite–hadamard Type for MTH-Convex Functions

In the paper, the authors introduce a concept of MTH-convex functions, provide an illustrative example of the MTH-convex functions, prove that every MTH-convex function is negative, and establish several new integral inequalities of the Hermite–Hadamard type for this class of functions.