Timeline for Bounding supremum norm of Lipschitz function by L1 norm
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 11, 2021 at 22:13 | answer | added | Lars | timeline score: 1 | |
| Dec 22, 2020 at 19:02 | vote | accept | Aurelien | ||
| Dec 22, 2020 at 12:25 | history | became hot network question | |||
| Dec 22, 2020 at 12:12 | answer | added | Iosif Pinelis | timeline score: 7 | |
| Dec 22, 2020 at 6:18 | answer | added | Iosif Pinelis | timeline score: 9 | |
| Dec 22, 2020 at 5:18 | comment | added | J Loreaux | I think you might want to look at generalizations of the Poincaré inequality. In particular, if $f$ is $L$-Lipschitz, then the constant function with value $L$ should be an upper gradient for $f$. This should be enough to get you started along this path. | |
| Dec 22, 2020 at 4:35 | comment | added | Nate Eldredge | A trivial bound could be $\|f\|_\infty \le \inf |f| + L \le \|f\|_1 + L$. Your hyperpyramid doesn't seem right as its sup norm should increase with $L$. | |
| Dec 22, 2020 at 4:23 | history | asked | Aurelien | CC BY-SA 4.0 |