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Analysis
Convex analysis
[
399
/
37%
]
Subtopics
Convex sets in normed spaces
[
207
/
29%
]
Convex sets and polytopes in affine spaces
[
49
/
45%
]
Strictly and uniformly convex normed spaces
[
43
/
40%
]
Extreme points of convex sets
[
29
/
10%
]
Seminorms and sublinear functionals
[
28
/
18%
]
Separation theorems for convex sets (geometric Hahn-Banach)
[
25
/
12%
]
Geometry of convex bodies
[
17
/
88%
]
Convex polytopes and linear programming
[
16
/
75%
]
Convex hulls and closed convex hulls in topological vector spaces
[
15
/
0%
]
Ordered vector spaces, wedges and cones
[
10
/
10%
]
Birkhoff-von Neumann theorem (doubly stochastic matrices)
[
6
/
83%
]
Convex functions of several variables and on normed spaces
[
5
/
0%
]
Convexity criteria linking norms to their unit balls
[
4
/
50%
]
Legendre (Legendre-Fenchel) Transform
[
4
/
75%
]
Farkas's Lemma (Theorem of Alternatives)
[
3
/
100%
]
Verifying convexity of a given set
[
3
/
0%
]
Extending linear functionals dominated by a convex (or sublinear) function
[
2
/
0%
]
Gordan's theorem of the alternative
[
2
/
100%
]
Lyapunov convexity theorem
[
2
/
0%
]
Minkowski's Convex Body Theorem (with Blichfeldt's Lemma)
[
2
/
100%
]
Caratheodory's convex hull theorem
[
1
/
0%
]
Majorization and Rearrangement Inequalities