Hölder's inequality
id:
h-lder-s-inequality-162-18714871
title:
Hölder's inequality
text:
In mathematical analysis, Hölder's inequality, named after Otto Hölder, is a fundamental inequality between integrals and an indispensable tool for the study of Lp spaces. The numbers p and q above are said to be Hölder conjugates of each other. The special case p = q = 2 gives a form of the Cauchy–Schwarz inequality. Hölder's inequality holds even if ‖fg‖1 is infinite, the right-hand side also being infinite in that case. Conversely, if f is in Lp(μ) and g is in Lq(μ), then the pointwise produc
brand slug:
wiki
category slug:
encyclopedia
description:
Inequality between integrals in Lp spaces
original url:
https://en.wikipedia.org/wiki/H%C3%B6lder%27s_inequality
date created:
2003-03-04T04:08:14Z
date modified:
2024-08-28T05:56:37Z
main entity:
{"identifier":"Q731894","url":"https://www.wikidata.org/entity/Q731894"}
image:
fields total:
13
integrity:
15