: Mathématiques: Fenchel-Moreau theorem

geometry > convex analysis > Fenchel-Moreau theorem

Fenchel-Moreau theorem

In convex analysis, the Fenchel–Moreau theorem (named after Werner Fenchel and Jean Jacques Moreau) or Fenchel biconjugation theorem (or just biconjugation theorem) is a theorem which gives necessary and sufficient conditions for a function to be equal to its biconjugate. This is in contrast to the general property that for any function ${\\displaystyle f^{**}\\leq f}$ . This can be seen as a generalization of the bipolar theorem. It is used in duality theory to prove strong duality (via the perturbation function).
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Fenchel%E2%80%93Moreau_theorem)

http://data.loterre.fr/ark:/67375/PSR-SVKTCD9K-F

RDF/XML TURTLE JSON-LD Date de création 17/08/2023, dernière modification le 18/10/2024

Loterre