Category:Convex analysis

• Convex analysis

A

• Absolutely convex set
• Algebraic closure (convex analysis)
• Algebraic interior

B

• Bipolar theorem

C

• Characteristic function (convex analysis)
• Closed convex function
• Complex convexity
• Concave function
• Concavification
• Convex cap
• Convex compactification
• Convex cone
• Convex conjugate
• Convex function
• Convex hull
• Convex optimization
• Convex set
• Copositive matrix

D

• Danzer set
• Dieudonné's theorem
• Dual cone and polar cone

E

• Effective domain
• Ehrhart's volume conjecture
• Ekeland's variational principle
• Epigraph (mathematics)

F

• Farkas' lemma
• Fenchel–Moreau theorem

G

• Gauss–Lucas theorem

H

• Hadamard three-lines theorem
• Hilbert projection theorem
• Hypograph (mathematics)

I

• Invex function

J

• Jensen's inequality

K

• K-convex function
• K-convexity in Rn
• Kachurovskii's theorem
• Karamata's inequality

L

• Legendre transformation
• Linear separability
• Locally convex topological vector space
• Logarithmically concave function
• Lower convex envelope

M

• Macbeath region
• Minkowski functional
• Minkowski's theorem
• Modulus and characteristic of convexity
• Moreau's theorem

P

• Polyconvex function
• Popoviciu's inequality
• Proper convex function
• Pseudoconvex function

Q

• Quasiconvex function

R

• Radial set
• Random polytope
• Recession cone
• R. Tyrrell Rockafellar

S

• Schur-convex function
• Shephard's problem
• SOS-convexity
• Star domain
• Strictly convex space
• Subgradient method

T

• Tonelli's theorem (functional analysis)

U

• Uniformly convex space
• Uniformly smooth space