Fubini's theorem
id:
fubini-s-theorem-181-4901330
title:
Fubini's theorem
text:
In mathematical analysis, Fubini's theorem characterizes the conditions under which it is possible to compute a double integral by using an iterated integral. It was introduced by Guido Fubini in 1907. The theorem states that if a function is Lebesgue integrable on a rectangle X × Y, then one can evaluate the double integral as an iterated integral: ∬ X × Y f d = ∫ X d x = ∫ Y d y. This formula is generally not true for the Riemann integral, but it is true if the function is continuous on the re
brand slug:
wiki
category slug:
encyclopedia
description:
Conditions for switching order of integration in calculus
original url:
https://en.wikipedia.org/wiki/Fubini%27s_theorem
date created:
2003-06-30T02:39:44Z
date modified:
2024-09-06T06:53:29Z
main entity:
{"identifier":"Q1149022","url":"https://www.wikidata.org/entity/Q1149022"}
image:
fields total:
13
integrity:
15