Timeline for Example of a function with a curious property
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 16, 2020 at 3:29 | history | became hot network question | |||
| Aug 15, 2020 at 23:03 | vote | accept | Tony419 | ||
| Aug 15, 2020 at 22:59 | answer | added | Fedor Petrov | timeline score: 11 | |
| Aug 15, 2020 at 20:31 | comment | added | Keba | Not if $F$ is nonnegative and increasing near $0$: Condition 1 implies $F(0) = 0$, hence by the mean value theorem $F(x) \le x F'(\xi) \le x F'(x_0)$ for some $\xi \in (0, x_0)$ and small $x_0 > 0$. My intuition tells me that then it should not be possible in general (for instance, multiplying with something like $\sin(1/x)$ worsens the problem). | |
| Aug 15, 2020 at 20:07 | history | edited | Amir Sagiv | CC BY-SA 4.0 |
typo in title
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| Aug 15, 2020 at 19:29 | history | asked | Tony419 | CC BY-SA 4.0 |