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cinar
Group Title
Let f be a continuous and bounded function on [a,b] such that if
 one year ago
 one year ago
cinar Group Title
Let f be a continuous and bounded function on [a,b] such that if
 one year ago
 one year ago

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satellite73 Group TitleBest ResponseYou've already chosen the best response.1
not really,but it kind of looks like a set up for integrating by parts
 one year ago

cinar Group TitleBest ResponseYou've already chosen the best response.0
I guess so..
 one year ago

cinar Group TitleBest ResponseYou've already chosen the best response.0
F'(x)=f(x) so we can say F'(t)=f(t) right..
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
that is what i was thinking, yes
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
maybe not exactly what you want, but you would get something like \(gF\int f g'\)
 one year ago

cinar Group TitleBest ResponseYou've already chosen the best response.0
\[\lim_{b \rightarrow} \int\limits_{0}^{b }G(t)F'(t)dt=\]
 one year ago

cinar Group TitleBest ResponseYou've already chosen the best response.0
I guess enough to show that \[\int\limits f g'\] is convergent
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
first part is no problem, since \(\lim_{t\to \infty}g(t)=0\) and \(\int_a^\infty f(t)\) is bounded
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
yeah you hit the nail on the head, and frankly i don't see why that is true, so this might be the wrong approach
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
because all you know about \(g'\) is that \(g'\leq 0\)
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
does this come in a section after some theorem or lemma that maybe you are supposed to use?
 one year ago

cinar Group TitleBest ResponseYou've already chosen the best response.0
no, this is homework, but prof gave the hint and said that you should use integration by part..
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
well then i guess this is the right approach!
 one year ago
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