Closed Convex Function
In mathematics, a convex function is called closed if its epigraph is a closed set. A proper convex function is closed if and only if it is lower semi-continuous. For a convex function which is not proper there is disagreement as to the definition of the closure of the function.
Read more about Closed Convex Function: Properties
Famous quotes containing the words closed and/or function:
“We are closed in, and the key is turned
On our uncertainty;”
—William Butler Yeats (1865–1939)
“The intension of a proposition comprises whatever the proposition entails: and it includes nothing else.... The connotation or intension of a function comprises all that attribution of this predicate to anything entails as also predicable to that thing.”
—Clarence Lewis (1883–1964)