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Timeline for Inequality for an integral [closed]

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Jul 18, 2014 at 23:02 history closed Will Jagy
Stefan Kohl
Tilman
Ryan Budney
S. Carnahan
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Jul 16, 2014 at 21:41 comment added Marjo @ Yemon Choi By using Cauchy formula, you obtain the function $f(r)$, and mathematica 8 software tells us that the maximum of $f$ is in $0$.
Jul 16, 2014 at 21:39 comment added Yemon Choi When you say you guess this is true, how did you guess these exact constants?
Jul 16, 2014 at 20:45 comment added Marjo It should be $|f'(z)-f'(0)|\le \frac{4|z|}{\pi(1-|z|^2)} \max|f(z)|$ instead.
Jul 16, 2014 at 20:29 comment added Christian Remling If that's (= your comment) what you're after, then Cauchy's formula seems to give a better estimate quite easily.
Jul 16, 2014 at 20:23 comment added Marjo Not an exercise, I am guessing that this is true but probably a problem which no one can solve it.
Jul 16, 2014 at 20:00 comment added Yemon Choi OK, so this looks like an exercise from a book. If so, then I think math.stackexchange.com would be a more suitable site for this question.
Jul 16, 2014 at 19:54 comment added Marjo A step on the proof of the following inequality $|f'(z)-f'(0)|\le \frac{8|z|}{\pi(1-|z|^2)} \max|f(z)|$, where $f$ is analytic in the unit disk.
Jul 16, 2014 at 19:51 comment added Yemon Choi Could you give some more background to this problem? Surely this is not a randomly chosen integral; is this an exercise, or a step in the proof of a larger result?
Jul 16, 2014 at 19:09 history edited Marjo CC BY-SA 3.0
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Jul 16, 2014 at 18:53 review Close votes
Jul 18, 2014 at 23:02
Jul 16, 2014 at 18:36 review First posts
Jul 16, 2014 at 19:01
Jul 16, 2014 at 18:32 history asked Marjo CC BY-SA 3.0