: Matemáticas: Fenchel-Moreau theorem

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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)

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