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Feb 28, 2016 at 19:28 comment added Fedor Petrov It works for all $R>1$, I think.
Feb 28, 2016 at 19:27 vote accept mishmish-dev
Feb 28, 2016 at 19:27 comment added mishmish-dev This works for me, thanks! Your example of norm is very specific, I mean, I was likely to consider situations when $R \gg r$. We may ask, what if we fix a norm first (and $r=1$), and then release $R$ to infinity? But that's may be not so interesting, because our initial estimate can be at least asymptotically exact in non-euclidean case.
Feb 28, 2016 at 19:05 history edited Fedor Petrov CC BY-SA 3.0
added 568 characters in body
Feb 28, 2016 at 18:16 history answered Fedor Petrov CC BY-SA 3.0