Definition:Midpoint-Convex

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

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

Also known as
This can also be rendered without a hyphen: midpoint convex.

Also see

 * Definition:Strictly Midpoint-Convex


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