Science Fair Project Encyclopedia
Closed convex function
In mathematics, a convex function is called closed if its epigraph is a closed set.
Properties
A closed convex function f is the pointwise supremum of the collection of all affine functions h such that h≤f.
References
- Rockafellar, Ralph Tyrell, Convex Analysis, Princeton University Press (1996). ISBN 0691015864
10-26-2009 08:16:03
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The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details