Lower convex envelope

In mathematics, the lower convex envelope ${\breve {f}}$ of a function $f$ defined on an interval $[a,b]$ is defined at each point of the interval as the supremum of all convex functions that lie under that function, i.e.

$<math>{\breve {f}}$(x) = \sup\{ g(x) \mid g \text{ is convex and } g \leq f \text{ over } [a,b] \}.

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See also

• Convex hull