Timeline for convergence of a series involving cosines
Current License: CC BY-SA 2.5
9 events
| when toggle format | what | by | license | comment | |
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| Mar 15, 2011 at 20:58 | comment | added | Shai Covo | @mr.gondolier: For the case $\alpha = 1/2$, I suggest writing the series as $(a_1 - a_2) + (a_3 - a_4) + \cdots$, applying the mean value theorem, and considering math.stackexchange.com/questions/27123/…. | |
| Aug 24, 2010 at 7:52 | comment | added | Helge | It's in the '10 lectures' book by Montgomery. I am not sure, where one can find it on the internet. | |
| Aug 24, 2010 at 7:29 | comment | added | gondolier | @ Helge: Can you give me a reference please? I never heard of it before... | |
| Aug 24, 2010 at 7:11 | comment | added | Helge | Have you tried things like the Van-Corput method? It should be applicable here ... | |
| Aug 24, 2010 at 6:29 | comment | added | gondolier | thanks, but i thought lacunary means $a_k$ grows exponentially? here $k^{\alpha}$ does not. | |
| Aug 24, 2010 at 6:21 | comment | added | J. M. isn't a mathematician | ...and this: archive.numdam.org/ARCHIVE/CM/CM_1962-1964__15_/… too; Kolmogorov's theorem seems to be the key. | |
| Aug 24, 2010 at 6:19 | comment | added | J. M. isn't a mathematician | Looks like a lacunary Fourier series. Have you seen projecteuclid.org/euclid.bams/1183525927 already? | |
| Aug 24, 2010 at 6:11 | history | edited | gondolier | CC BY-SA 2.5 |
added 22 characters in body
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| Aug 24, 2010 at 6:02 | history | asked | gondolier | CC BY-SA 2.5 |