Lower convex envelope
From HandWiki
In mathematics, the lower convex envelope [math]\displaystyle{ \breve f }[/math] of a function [math]\displaystyle{ f }[/math] defined on an interval [math]\displaystyle{ [a,b] }[/math] is defined at each point of the interval as the supremum of all convex functions that lie under that function, i.e.
- [math]\displaystyle{ \breve f (x) = \sup\{ g(x) \mid g \text{ is convex and } g \leq f \text{ over } [a,b] \}. }[/math]
See also
Original source: https://en.wikipedia.org/wiki/Lower convex envelope.
Read more |