# Category:Definitions/Convex Real Functions

This category contains definitions related to Convex Real Functions.
Related results can be found in Category:Convex Real Functions.

$f$ is convex on $I$ if and only if:

$\forall x, y \in I: \forall \alpha, \beta \in \R_{>0}, \alpha + \beta = 1: \map f {\alpha x + \beta y} \le \alpha \map f x + \beta \map f y$

## Pages in category "Definitions/Convex Real Functions"

The following 8 pages are in this category, out of 8 total.