On Tue, Dec 12, 2006 at 08:43:29AM -0800, Daniel Lakeland wrote:
>
> Too early to do mathematics :-) However now you've got me going.
>
> integrate(abs(f(x) * g(x)), 0, inf) can be broken into the following
> infinite sum
>
> sum(integrate(abs(g(x)*f(x)),n*p,(n+1)*p),n,0,inf)
>
> I think some kind of integration by parts might be helpful here.
>
> eventually hopefully bounding the integral by k * integrate(f(x),x,0,inf)
>
> of course if k = 0 then things wouldn't work.
>
> Don't have time to investigate further at the moment, perhaps at lunch...
>
> I'm glad that some of you are entertained by this :-)
I see that if it's ever to work, it's also going to require that not
only k > 0 but also that abs(g(x) * f(x)) > 0 over some measurable
interval within each of the sub intervals so that the two functions
don't kill each other by careful trickery of the type being sent to me
off list...
--
Daniel Lakeland
dlakelan at street-artists.org
http://www.street-artists.org/~dlakelan