Jensen's inequality
id:
jensen-s-inequality-173-5159993
title:
Jensen's inequality
text:
In mathematics, Jensen's inequality, named after the Danish mathematician Johan Jensen, relates the value of a convex function of an integral to the integral of the convex function. It was proved by Jensen in 1906, building on an earlier proof of the same inequality for doubly-differentiable functions by Otto Hölder in 1889. Given its generality, the inequality appears in many forms depending on the context, some of which are presented below. In its simplest form the inequality states that the c
brand slug:
wiki
category slug:
encyclopedia
description:
Theorem of convex functions
original url:
https://en.wikipedia.org/wiki/Jensen%27s_inequality
date created:
2003-08-16T17:51:08Z
date modified:
2024-09-02T02:06:00Z
main entity:
{"identifier":"Q518131","url":"https://www.wikidata.org/entity/Q518131"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/c/c7/ConvexFunction.svg","width":512,"height":266}
fields total:
13
integrity:
16