Timeline for Integration of gaussian times absolute value of cosine
Current License: CC BY-SA 3.0
9 events
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Sep 9, 2014 at 21:58 | history | edited | Robert Israel | CC BY-SA 3.0 |
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Sep 9, 2014 at 19:31 | history | edited | Robert Israel | CC BY-SA 3.0 |
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Sep 9, 2014 at 19:12 | history | edited | Robert Israel | CC BY-SA 3.0 |
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Sep 9, 2014 at 19:05 | history | edited | Robert Israel | CC BY-SA 3.0 |
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Sep 9, 2014 at 17:43 | comment | added | Robert Israel | Yes, that gives a slightly better upper bound, $\sqrt{\pi} c \sqrt{2 + 2 \exp(-c^2)}/4$. Still not sharp, I think. | |
Sep 9, 2014 at 10:16 | comment | added | Geoff Robinson | Can't the first estimate be combined with Cauchy Schwarz? Something like $\int_{0}^{\infty} \exp(-(x/c)^{2})|\cos(x)| dx \leq \sqrt{\int_{0}^{\infty} \exp(-(x/c)^{2})\cos^{2}(x)dx \int_{0}^{\infty} \exp(-(x/c)^{2})}dx$? | |
Sep 9, 2014 at 8:48 | vote | accept | anonymous | ||
Sep 8, 2014 at 18:49 | history | edited | Robert Israel | CC BY-SA 3.0 |
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Sep 8, 2014 at 18:41 | history | answered | Robert Israel | CC BY-SA 3.0 |