Timeline for Dominated convergence 2.0?
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 19, 2018 at 18:40 | comment | added | Dattier | here, the new question : mathoverflow.net/questions/308686/dominated-convergence-2-1 | |
| Aug 19, 2018 at 17:04 | comment | added | Jochen Glueck | @Dattier: I'm not sure about this case, unfortunately. Under the stronger assumptions that $\lvert f_n''\rvert \le h$ for $h \in L^1$ and that $(f_n'(0))$ be bounded, we can apply the dominated convergence theorem. If, however, only $f_n'' \le h$ for $h \in L^1$ (or if nothing is assumed on $(f_n'(0))$), then I don't know what happens. Maybe this would be appropriate for a new question? | |
| Aug 19, 2018 at 14:43 | comment | added | Dattier | what about the case where $h \in L^1([0,1])$ : @Jochen Glueck | |
| Aug 18, 2018 at 23:16 | vote | accept | Dattier | ||
| Aug 18, 2018 at 23:11 | comment | added | Jochen Glueck | @Dattier: We have $f(0) = 0$ since $f$ is supported in the open interval $(0,1)$. | |
| Aug 18, 2018 at 23:10 | comment | added | Dattier | $f_n(0)=n\times f(0) $ and $f(0)>0$ so $\lim f_n(0)=+\infty$, no ? | |
| Aug 18, 2018 at 23:04 | history | answered | Jochen Glueck | CC BY-SA 4.0 |