Timeline for Measuring the distance of a convex set from a ball (Nikodym distance)
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| May 10, 2013 at 12:01 | comment | added | Sergei Ivanov | @alex: I think you are right. This simplification did not occur to me. | |
| May 10, 2013 at 10:07 | comment | added | alex | Thank you! This was very helpful. Maybe I'm missing something here, but couldn't you apply the same argument for $f(x)^n$ without using the Hausdorff distance result to drop the power, and get that $$\int_{S^{n-1}} |f(x)^n - r_0| dx \leq \epsilon$$ ? This would give a constant independent of the dimension. | |
| May 7, 2013 at 17:44 | vote | accept | alex | ||
| May 6, 2013 at 20:14 | history | edited | Sergei Ivanov | CC BY-SA 3.0 |
added an estimate of the Nikodym distance
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| May 6, 2013 at 18:35 | history | answered | Sergei Ivanov | CC BY-SA 3.0 |