Category:Definitions/Convex Real Functions
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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:
- $\forall x, y \in I: \forall \alpha, \beta \in \R_{>0}, \alpha + \beta = 1: \map f {\alpha x + \beta y} \le \alpha \map f x + \beta \map f y$
Also see
Pages in category "Definitions/Convex Real Functions"
The following 13 pages are in this category, out of 13 total.
C
- Definition:Concave Up Function
- Definition:Convex Down Function
- Definition:Convex Real Function
- Definition:Convex Real Function/Also known as
- Definition:Convex Real Function/Definition 1
- Definition:Convex Real Function/Definition 1/Also presented as
- Definition:Convex Real Function/Definition 1/Strictly
- Definition:Convex Real Function/Definition 2
- Definition:Convex Real Function/Definition 2/Strictly
- Definition:Convex Real Function/Definition 3
- Definition:Convex Real Function/Definition 3/Strictly
- Definition:Convex Real Function/Geometric Interpretation