Abstract Convexity and Hermite-Hadamard Type Inequalities

Abstract

The deriving Hermite-Hadamard type inequalities for certain classes of abstract convex functions are considered totally, the inequalities derived for some of these classes before are summarized, new inequalities for others are obtained, and for one class of these functions the results on R+2 are generalized to Rn+. By considering a concrete area in R++n, the derived inequalities are illustrated.