Re: Generalized of dominated convergence theorem
- From: "Jules" <julianrosen@xxxxxxxxx>
- Date: 8 Jan 2006 21:35:30 -0800
Patt wrote:
> Assume that f_n, g_n, f, g are in L^1 ( integrable function ) , f_n
> ---> f almost everywhere, | f_n | <= g_n and \integrate g_n ---->
> \integrate g . Then \integrate f_n ---> \integrate f.
Did you mean to have the additional assumption that g_n --> g almost
everywhere?
.
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