convex analysis

0.0.1 Convex sets

1. convex set

2. polyconvex set

3. extreme point

4. convex combination

5. Carathéodory’s theorem (http://planetmath.org/CaratheodorysTheorem2)

6. Radon’s lemma

7. Helly’s theorem

0.0.2 Topological properties of convex sets

1. Krein-Milman theorem

0.0.3 Convex functions

1. convex function

2. extremal value of convex/concave functions

3. logarithmically convex function

4. Jensen’s inequality

5. subdifferentiable mapping

0.0.4 Miscellaneous

1. Fenchel’s duality theorem

2. saddle function

3. minimax theory

Title	convex analysis
Canonical name	ConvexAnalysis
Date of creation	2013-03-22 15:11:47
Last modified on	2013-03-22 15:11:47
Owner	matte (1858)
Last modified by	matte (1858)
Numerical id	7
Author	matte (1858)
Entry type	Topic
Classification	msc 52-00