Closed convex function
In mathematics, a function is said to be closed if for each , the sublevel setis a closed set. Equivalently, if the epigraph defined byis closed, then the function is closed. This definition is valid for any function, but most used for convex functions. 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.
Link from a Wikipage to another Wikipage
primaryTopic
Closed convex function
In mathematics, a function is said to be closed if for each , the sublevel setis a closed set. Equivalently, if the epigraph defined byis closed, then the function is closed. This definition is valid for any function, but most used for convex functions. 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.
has abstract
In mathematics, a function is ...... f the closure of the function.
@en
数学において、函数 が閉（へい、英: closed）であると ...... 凸函数に対して、函数の「閉包」とは定義の上で異なる点がある。
@ja
Wikipage page ID
page length (characters) of wiki page
Wikipage revision ID
1,013,060,509
Link from a Wikipage to another Wikipage
wikiPageUsesTemplate
comment
In mathematics, a function is ...... f the closure of the function.
@en
数学において、函数 が閉（へい、英: closed）であると ...... 凸函数に対して、函数の「閉包」とは定義の上で異なる点がある。
@ja
label
Closed convex function
@en
閉凸函数
@ja