Definition:Convex Hull/Definition 3

Definition

Let $V$ be a vector space over $\R$.

Let $U \subseteq V$.

The convex hull of $U$ is defined and denoted:

$\ds \map {\operatorname {conv} } U = $ the smallest convex set $C$ such that $U \subseteq C$.

Also see

• Equivalence of Definitions of Convex Hull

• Results about convex hulls can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): convex hull
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): convex hull