Timeline for The inequality $\int^\infty_0 (\sin(rt)r^3/\sinh^2(r)) dr\leq cte^{-At}$
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
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| Jul 18, 2022 at 19:01 | vote | accept | zoran Vicovic | ||
| Jul 18, 2022 at 19:01 | |||||
| Jul 5, 2022 at 12:48 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
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| Jul 5, 2022 at 11:54 | comment | added | zoran Vicovic | Please, could you detail more | |
| Jul 5, 2022 at 11:45 | comment | added | Carlo Beenakker | yes, all that matters is the exponential decay $\propto e^{-\pi t}$, which follows from the pole at $r=i\pi$. | |
| Jul 5, 2022 at 11:44 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
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| Jul 5, 2022 at 11:32 | comment | added | zoran Vicovic | Thank you a lot @Carlo Beenakker. But is there a manner to prove the inequality whitout calculating. | |
| Jul 5, 2022 at 11:26 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
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| Jul 5, 2022 at 11:20 | comment | added | Carlo Beenakker | right, added the small-$t$ limit, thanks | |
| Jul 5, 2022 at 11:20 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
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| Jul 5, 2022 at 11:18 | comment | added | mathworker21 | You also need to remark it goes to $0$ as $t \to 0$. | |
| Jul 5, 2022 at 11:15 | history | answered | Carlo Beenakker | CC BY-SA 4.0 |