integrable funtion

**PRLM** · December 23rd 2009, 01:12 PM

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?

**dedust** · December 23rd 2009, 02:53 PM

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

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