Definition:Midpoint-Convex
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Definition
Let $f$ be a real function defined on a real interval $I$.
$f$ is midpoint-convex if and only if:
- $\forall x, y \in I: \map f {\dfrac {x + y} 2} \le \dfrac {\map f x + \map f y} 2$
Also known as
This can also be rendered without a hyphen: midpoint convex.
Also see
Sources
- 1994: Brian S. Thomson: Symmetric Properties of Real Functions: $\S 4.3$