# integrable funtion

• Dec 23rd 2009, 02:12 PM
PRLM
integrable funtion
it might not be all that difficult but i cant see it so please help me on this.
If $f_n \rightarrow f$ in measure and $|f_n|\leq g$ where $g$ is a integrable function, then $\int |f_n-f|$ is integrable?
• Dec 23rd 2009, 03:53 PM
dedust
Quote:

Originally Posted by PRLM
it might not be all that difficult but i cant see it so please help me on this.
If $f_n \rightarrow f$ in measure and $|f_n|\leq g$ where $g$ is a integrable function, then $\int |f_n-f|$ is integrable?

see this http://www.mathhelpforum.com/math-he...-integral.html