Timeline for A Wirtinger-like inequality involving two functions
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 11, 2012 at 20:42 | comment | added | Yoav Kallus | Oh yeah. The second inequality has more assumptions that I forgot to include $f(0)=g(0)=0$. | |
| Dec 11, 2012 at 20:13 | comment | added | Daniel Spector | I think there must be a mistake in the second inequality, since $f=c$ and $|g^\prime|=1$ would give the inequality $c \leq \pi$. The first inequality is an easier inequality from this perspective, and is provable by using a standard Poincare inequality for $||f-\overline{f}||_{L^2}\leq C ||f^\prime||_{L^2}$ with the optimal constant $C$ and realizing that you can introduce the average value on the left hand side, due to periodicity of $g$, followed by Cauchy-Schwartz. | |
| Dec 11, 2012 at 19:21 | vote | accept | Yoav Kallus | ||
| Dec 11, 2012 at 19:00 | answer | added | Mark Meckes | timeline score: 6 | |
| Dec 11, 2012 at 18:25 | history | asked | Yoav Kallus | CC BY-SA 3.0 |