# Category:Definitions/Concave Real Functions

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

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

$\forall x, y \in I: \forall \alpha, \beta \in \R_{>0}, \alpha + \beta = 1: f \left({\alpha x + \beta y}\right) \ge \alpha f \left({x}\right) + \beta f \left({y}\right)$

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

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