Hadamard-type inequalities for quasiconvex functions.
Hamiltoniens quasi-convexes quasi-concaves
Harmonic sum and duality.
Hermite-Hadamard type inequalities for increasing radiant functions.
Hermite-Hadamard-type inequalities for generalized convex functions.
Hidden structures in the class of convex functions and a new duality transform
Our main intention in this paper is to demonstrate how some seemingly purely geometric notions can be presented and understood in an analytic language of inequalities and then, with this understanding, can be defined for classes of functions and reveal new and hidden structures in these classes. One main example which we discovered is a new duality transform for convex non-negative functions on attaining the value 0 at the origin (which we call “geometric convex functions”). This transform, together...