Hermite-Hadamard Inequality for Geometrically Quasiconvex Functions on a Rectangular Box

Abstract

In this paper some Hermite-Hadamard type inequalities for convex functions of three variables on a rectangular box in R 3 are given.

New integral inequalities of Hermite–Hadamard’s and Simpson’s type for twice differentiable mappings

“…Further, a function is called affine if it is both convex and concave. The application of Hermite-Hadamard-type inequalities and convexities can be found in [2][3][4][5][6][7].…”