# Category:Convex Real Functions

This category contains results about Convex Real Functions.
Definitions specific to this category can be found in Definitions/Convex Real Functions.

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

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

## Subcategories

This category has only the following subcategory.

## Pages in category "Convex Real Functions"

The following 19 pages are in this category, out of 19 total.