Talk:Monotone convergence theorem
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[edit] Revert from 2007 back to 2005
The following edit:
(cur) (last) 07:26, 19 November 2005 TakuyaMurata (Talk | contribs) (turn this into a disambig page) (undo)
(see [1]) replaced this page with a redirect page which did not preserve all the information. The fact is that the main theorem known as "monotone convergence" is Lebesgue's, and the article on Lebesgue's dominated convergence theorem does not discuss the monotone convergence theorem.
Loisel 05:43, 14 August 2007 (UTC)
[edit] Fixed some errors
I found some errors in the formulation of the monotone convergence theorem, so I fixed them and added a reference. I'm not sure though if the formulation I have is also the original formulation as given by Lebesgue. Perhaps someone could check and add a reference. I'm not sure where it was first published.
Mtroffaes (talk) 12:30, 22 February 2008 (UTC)
It was not an error. Since f_k(x) is monotone for every x, it converges to f(x), for every x. Loisel (talk) 18:50, 22 February 2008 (UTC)
