Tonelli-Hobson test
From Wikipedia, the free encyclopedia
In mathematics, the Tonelli-Hobson test gives sufficient criteria for a function f on R2 to be integrable. It is often used to establish that Fubini's theorem may be applied to f. It is named for Leonida Tonelli and E. W. Hobson.
More precisely, the Tonelli-Hobson test states that if f is a real-valued measurable function on R2, and either of
or
exists, then f is Lebesgue-integrable on R2.
 |
This mathematics-related article is a stub. You can help Wikipedia by expanding it. |
