Timeline for Proof that Newton expansion over derivatives has the properties of an integral [duplicate]
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| Feb 17, 2014 at 6:35 | review | Reopen votes | |||
| Feb 17, 2014 at 11:01 | |||||
| Jan 28, 2014 at 18:28 | history | closed |
Stefan Kohl♦ Andrey Rekalo Ryan Budney David Roberts♦ Neil Strickland |
Duplicate of New differintegral formula: how is it related to other differintegral formulas? | |
| Jan 10, 2014 at 4:53 | comment | added | Theo Johnson-Freyd | @Anixx Not off the top of my head. It's not really my area. | |
| Jan 9, 2014 at 22:01 | comment | added | Anixx | @Theo Johnson-Freyd Can you give an example where it converges, but not to an antiderivative? | |
| Jan 9, 2014 at 20:48 | comment | added | Theo Johnson-Freyd | Well, the answer is clearly "yes" for $f(x) = \exp(\lambda x)$ for $\lambda \in \mathbb C$ with $|\lambda-1|<1$, and therefore for linear combinations of such functions (more generally, e.g., if your Fourier transform has compact support in the interior of the disk). But I'm sure there are cases where F converges in some not-great way to some not-very-regular function. | |
| Jan 9, 2014 at 20:23 | comment | added | Anixx | @Theo Johnson-Freyd no, I mean exactly that property. | |
| Jan 9, 2014 at 18:23 | comment | added | Theo Johnson-Freyd | Why do you write $\binom{-1}m$ rather than $\frac{(-1)\cdots(-m)}{m!} = (-1)^m$? By "properties of an antiderivative", do you mean more than that $\partial F = f$? | |
| Jan 9, 2014 at 17:37 | review | Close votes | |||
| Jan 28, 2014 at 18:28 | |||||
| Nov 7, 2013 at 11:42 | comment | added | Anixx | @Carlo Beenakker I think it does not answer the question because it does not mention the other types of differintegral, which I was asking for comparison with. From what I understand, it says that the continuity is difficult to prove. This question is more narrow, it asks about just antiderivative. | |
| Nov 7, 2013 at 11:32 | comment | added | Carlo Beenakker | was the earlier answer unsatisfactory? mathoverflow.net/questions/130886 | |
| Nov 7, 2013 at 5:29 | history | asked | Anixx | CC BY-SA 3.0 |