convex hull

(redirected from Closed convex hull)

convex hull

[′kän‚veks ′həl]
(mathematics)
The smallest convex set containing a given collection of points in a real linear space. Also known as convex linear hull.

convex hull

(mathematics, graphics)
For a set S in space, the smallest convex set containing S. In the plane, the convex hull can be visualized as the shape assumed by a rubber band that has been stretched around the set S and released to conform as closely as possible to S.
References in periodicals archive ?
where [bar.co]F(U) denotes the closed convex hull F(U).
Let [x, L] denote the closed convex hull of {x} [union] L in X, where x [member of] X.
Based on the fact that the closed convex hull of every nonempty finite family of points of E has the fixed point property in [4] the Schauder fixed point theorem has been proved.
In this section, the notations [[bar.A].sup.[tau]] and [[bar.co].sup.[tau]](A) will stand respectively for the closure and closed convex hull of a subset A [subset or equal to] E* with respect to a locally convex topology [tau] on E*.
If x [member of] B(H) is such that the norm closed convex hull of [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] in B(H [cross product] [??]) contains 0, then [phi]([x.sup.*]A) = 0.
We claim that g is in the closed convex hull of [([g.sub.k](s)).sub.k[greater than or equal to]1] in ([L.sub.1]([mu], X), [[parallel] x [parallel].sub.1]).
where [??](H([DELTA])) denotes the closed convex hull of H([DELTA]).