Timeline for Approximating $1/x$ by a polynomial on $[0,1]$
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 10, 2019 at 21:08 | comment | added | Yuval Peres | Indeed there is no problem. | |
| Jun 10, 2019 at 20:59 | comment | added | Mateusz Kwaśnicki | @YuvalPeres: Neither do I see a problem here: $f$ and $P$ do depend on a (fixed) $\varepsilon$. (But still it is far simpler to apply the Müntz–Szász theorem, as user131781 pointed out in their comment.) | |
| Jun 10, 2019 at 19:53 | comment | added | Yemon Choi | @YuvalPeres I don't see a problem (perhaps I am being slow) - one fixes epsilon, defines $f=f_\epsilon$, and then chooses some $P$ that approximates $f_\epsilon$ to with $\epsilon$. What goes wrong? | |
| Jun 10, 2019 at 13:18 | comment | added | Yuval Peres | How are you justifying the first step? The function $f$ you are approximating depends on $\epsilon$. | |
| Jun 10, 2019 at 7:39 | history | undeleted | Mateusz Kwaśnicki | ||
| Jun 10, 2019 at 7:39 | history | edited | Mateusz Kwaśnicki | CC BY-SA 4.0 |
added 37 characters in body
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| Jun 10, 2019 at 7:34 | history | deleted | Mateusz Kwaśnicki | via Vote | |
| Jun 10, 2019 at 7:33 | history | answered | Mateusz Kwaśnicki | CC BY-SA 4.0 |