Timeline for A norm ratio inequality
Current License: CC BY-SA 2.5
6 events
when toggle format | what | by | license | comment | |
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Mar 3, 2011 at 23:14 | comment | added | Aryeh Kontorovich | Here is a short writeup providing some motivation: dl.dropbox.com/u/3198145/norm-ineq.pdf | |
Mar 3, 2011 at 22:29 | comment | added | Aryeh Kontorovich | @Mark -- the most interesting question is whether the best $K_n$ is actually a constant (which I suspect is not the case). The next question is -- does it grow as $n$ to some powr or slower (logarithmically, say)? The $\sqrt n$ bound is unfortunately too crude for my needs. | |
Mar 3, 2011 at 17:27 | comment | added | Aryeh Kontorovich | My motivation is to obtain a Berry-Esseen type bound for the case where the coefficients are generated by a certain kind of partition. This probably isn't making a whole lot of sense; I'll write post a link to a short writeup soon. | |
Mar 3, 2011 at 16:15 | comment | added | Bill Johnson | For such a strange question you should give some motivation and say what you know. | |
Mar 3, 2011 at 14:59 | comment | added | Mark Meckes | It's easy to see that $1 \le K_n \le \sqrt{n}$. Do you really need the best constant, or just some improvement on this? | |
Mar 3, 2011 at 9:13 | history | asked | Aryeh Kontorovich | CC BY-SA 2.5 |