Definition:Strictly Midpoint-Convex

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

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

Also see

 * Definition:Midpoint-Convex


 * Definition:Midpoint-Concave
 * Definition:Strictly Midpoint-Concave