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convex analysis (Topic)

Convex sets

  1. convex set
  2. polyconvex set
  3. extreme point
  4. convex combination
  5. Carathéodory's theorem
  6. Radon's lemma
  7. Helly's theorem

Topological properties of convex sets

  1. Krein-Milman theorem

Convex functions

  1. convex function
  2. extremal value of convex/concave functions
  3. logarithmically convex function
  4. Jensen's inequality
  5. subdifferentiable mapping

Miscellaneous

  1. Fenchel's duality theorem
  2. saddle function
  3. minimax theory




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Cross-references: theory, function, saddle, theorem, duality, subdifferentiable mapping, Jensen's inequality, logarithmically convex function, convex function, Krein-Milman theorem, Helly's theorem, Radon's lemma, convex combination, extreme point, polyconvex set, convex set
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This is version 4 of convex analysis, born on 2005-04-16, modified 2006-10-20.
Object id is 6954, canonical name is ConvexAnalysis.
Accessed 3165 times total.

Classification:
AMS MSC52-00 (Convex and discrete geometry :: General reference works )

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