Timeline for Functions whose antiderivative behaves like xf(x)

13 events

when toggle format	what		by	license	comment
Mar 20, 2016 at 16:43	history	edited	Nate Eldredge		edited tags
Mar 20, 2016 at 15:44	history	edited	Adam Hughes	CC BY-SA 3.0	minor typesetting fix
Nov 20, 2010 at 19:46	vote	accept	Adam Hughes
Nov 20, 2010 at 16:43	comment	added	Todd Trimble		I have made major revisions in my earlier answer which gives a more definitive result applicable to a wider class of functions.
Nov 19, 2010 at 15:00	answer	added	Todd Trimble		timeline score: 13
Nov 19, 2010 at 11:34	history	edited	Todd Trimble	CC BY-SA 2.5	inserted a missing sign
Nov 19, 2010 at 7:10	comment	added	Harald Hanche-Olsen		Regarding notation: Computer scientists tend to use big theta for your $(*)$, i.e., $F(x)=\Theta(xf(x))$.
Nov 19, 2010 at 4:48	history	edited	Alex B.		removed the nt-tag
Nov 19, 2010 at 1:52	comment	added	Willie Wong		Why not do it in terms of the integral $F(x)$? Your condition $F(x) \sim x F'(x)$ implies that $x^{-1} \sim \frac{d}{dx} \log F(x)$. Which says that a necessary condition is that there exists $n,N$ such that $x^n = O(F(x))$ and $F(x) = O(x^N)$.
Nov 19, 2010 at 1:46	history	edited	Adam Hughes	CC BY-SA 2.5	no idea why the word "Denote" was randomly in there
Nov 19, 2010 at 1:41	history	edited	David Roberts♦	CC BY-SA 2.5	spelling/grammar in title
Nov 19, 2010 at 1:28	history	edited	Adam Hughes	CC BY-SA 2.5	added 6 characters in body
Nov 19, 2010 at 1:19	history	asked	Adam Hughes	CC BY-SA 2.5