Tonelli–Hobson test
id:
tonelli-hobson-test-161-11271014
title:
Tonelli–Hobson test
text:
In mathematics, the Tonelli–Hobson test gives sufficient criteria for a function ƒ on R to be an integrable function. It is often used to establish that Fubini's theorem may be applied to ƒ. It is named for Leonida Tonelli and E. W. Hobson. More precisely, the Tonelli–Hobson test states that if ƒ is a real-valued measurable function on R, and either of the two iterated integrals
- ∫ R d y or
- ∫ R d x is finite, then ƒ is Lebesgue-integrable on R.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Tonelli%E2%80%93Hobson_test
date created:
2006-09-18T23:09:34Z
date modified:
2024-08-27T07:47:28Z
main entity:
{"identifier":"Q7820875","url":"https://www.wikidata.org/entity/Q7820875"}
image:
fields total:
13
integrity:
14