Timeline for search for a function satisfying some conditions
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 27, 2012 at 16:48 | history | edited | Trevor Wilson |
edited tags
|
|
| Aug 27, 2012 at 15:18 | history | edited | Higgs88 | CC BY-SA 3.0 |
added 13 characters in body; added 16 characters in body
|
| Aug 27, 2012 at 14:56 | comment | added | Ilya Bogdanov | Notice also that the substitution $z=4t\sqrt{s/\theta}$, $\psi(z)=2\phi(t)/\theta$ leads to cancellation of constants. The inequalities read as $1-t\phi'/\phi+\phi''\geq 0$, $\phi^2+2\phi\leq t^2$. | |
| Aug 27, 2012 at 14:48 | comment | added | Ilya Bogdanov | The second consition implies that $\Psi(0)=0$. Shouldn't you exclude $z=0$ for the first condition? | |
| Aug 27, 2012 at 14:20 | comment | added | Suvrit | Maybe such a function does not exist? However, if we allow $\Psi$ to map to the negative reals, then $\Psi(z)$ given by the negative solution to the quadratic equation above satisfies the other conditions. But I have not checked any further. It would be good to know a bit of your motivation for investigating these inequalities... | |
| Aug 27, 2012 at 13:42 | history | asked | Higgs88 | CC BY-SA 3.0 |