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May 18, 2012 at 11:15 comment added Felix Goldberg Never mind, I've seen the light already! :) (The question was a fragment of a larger investigation; what I am really interested in is the sum of sums over certain ubmatrices; your first reply got me out of trying to estimate each sum independently, which is rather a dead-end and into estimating the sum of sums; but that is a different story, which doesn't belong here). Thanks again.
May 18, 2012 at 5:30 comment added Robert Israel What precisely do you mean by $x_i \approx 1/n$ when $n$ is fixed?
May 17, 2012 at 8:30 comment added Felix Goldberg First of all, thanks a lot for devoting thought to this! Now, I'm almost convinced, but please recall that I also have the extra condition that $x_{i} \approx \frac{1}{n}$. Although for $n$ large enough your argument stilll takes the biscuit, what happens when $n$ is fixed and not terribly big and we have little control on $x_{i}$?
May 17, 2012 at 1:52 history answered Robert Israel CC BY-SA 3.0