Re: is it monotone incresing??
From: José Carlos Santos (jcsantos_at_fc.up.pt)
Date: 02/27/05
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Date: Sun, 27 Feb 2005 19:56:44 +0000
VijaKhara@gmail.com wrote:
> I am sorry, it is always difficult to write fomulars in this text
> domain. I did make some typos: The formular is
>
> f belongs to L space, h_n=inf(f_n,f_n+1,........)
Then, for each x, (h_n(x))_n is indeed increasing, since
h_n(x) = inf{f_n(x),f_{n + 1}(x),...}
<= inf{f_{n + 1}(x),f_{n + 2}(x),...}
= h_{n + 1}(x).
Best regards,
Jose Carlos Santos
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