Timeline for Does anybody know an estimation of L4 norm of fejer kernel ?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Jul 30, 2012 at 12:43 | vote | accept | Phoebe | ||
| Jul 29, 2012 at 23:56 | answer | added | Robert Israel | timeline score: 8 | |
| Jul 29, 2012 at 23:43 | comment | added | Noam D. Elkies | For any given integer power of $K_N$ you can get an exact formula by expanding the exponential sum, though this gets tiresome past the first few cases. For any power, you get an easy upper bound from $K_N(s) < \min(N, 1/\sin(s/2)^2)$ [I assume that the factor of $1/2\pi$ should be applied to the integral, not to $K_N(s)$], and this should be within a small factor of the truth. | |
| Jul 29, 2012 at 22:54 | history | edited | Phoebe | CC BY-SA 3.0 |
added 2 characters in body; edited title; added 36 characters in body
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| Jul 29, 2012 at 18:03 | comment | added | Yemon Choi | I agree with Davide and Zen that the question needs to be edited or clarified. Incidentally, what you claim to have is a bound on the 4th power of the L^4-norm, not the L^4-norm itself, so I think your title needs some minor corrections | |
| Jul 29, 2012 at 15:05 | comment | added | Zen Harper | I agree with Davide Giraudo, I think the Fejer kernel has a square, so you are either missing a square, or using the wrong name. Have you tried just expressing with complex exponentials and evaluating directly? Since you're raising a trig. polynomial to a positive integer power, it has an exact closed form expression, which may be easier to estimate. | |
| Jul 29, 2012 at 14:31 | history | asked | Phoebe | CC BY-SA 3.0 |