INEQUALITIES OF HERMITE-HADAMARD TYPE FOR FUNCTIONS

Study of convex functions has become a more important and fundamental piece in the development of various fields of pure and applied sciences. Many generalizations of this concept have been established. Many inequalities have been investigated for convex functions. Among these inequalities, the Hermite-Hadamard inequality is well known in the literature. The classical Hermite–Hadamard inequality is one of the most well-established inequalities in the theory of convex functions with geometrical interpretation, and it has many applications. In this paper, a new class of convex functions is studied. We obtain some refinements of the Hermite-Hadamard integral inequalities via functions whose second derivatives in absolute value at certain power are exponential trigonometric convex functions