Convex function
id:
convex-function-180-824860
title:
Convex function
text:
In mathematics, a real-valued function is called convex if the line segment between any two distinct points on the graph of the function lies above or on the graph between the two points. Equivalently, a function is convex if its epigraph is a convex set. In simple terms, a convex function graph is shaped like a cup ∪, while a concave function's graph is shaped like a cap ∩. A twice-differentiable function of a single variable is convex if and only if its second derivative is nonnegative on its
brand slug:
wiki
category slug:
encyclopedia
description:
Real function with secant line between points above the graph itself
original url:
https://en.wikipedia.org/wiki/Convex_function
date created:
2003-06-13T19:07:32Z
date modified:
2024-09-05T07:11:43Z
main entity:
{"identifier":"Q319913","url":"https://www.wikidata.org/entity/Q319913"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/c/c7/ConvexFunction.svg","width":512,"height":266}
fields total:
13
integrity:
16