Definition:Strictly Midpoint-Concave

Definition
Let $f$ be a real function defined on a real interval $I$.

$f$ is strictly midpoint-concave :
 * $\forall x, y \in I : \map f {\dfrac {x + y} 2} > \dfrac {\map f x + \map f y} 2$

Also see

 * Definition:Midpoint-Concave


 * Definition:Midpoint-Convex
 * Definition:Strictly Midpoint-Convex