Fenchel–Moreau theorem
= Fenchel–Moreau theorem
{wiki=Fenchel–Moreau_theorem}
The Fenchel–Moreau theorem is a fundamental result in convex analysis that relates the concepts of convex conjugates and duality. It characterizes the relationship between a convex function and its conjugate. Let \\( f : \\mathbb\{R\}^n \\to \\mathbb\{R\} \\) be a proper, convex, and lower semicontinuous function.