Category:Convex Real Functions

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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:

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

Also see

Category:Concave Real Functions


This category has the following 4 subcategories, out of 4 total.

Pages in category "Convex Real Functions"

The following 28 pages are in this category, out of 28 total.