Timeline for Inequality involving three functions

Current License: CC BY-SA 4.0

14 events

when toggle format	what		by	license	comment
Dec 2, 2018 at 21:33	answer	added	Iosif Pinelis		timeline score: 1
Dec 2, 2018 at 19:37	comment	added	user64494		Thank you. Don't you miss condition (1.4) from the manuscript in your question?
Dec 2, 2018 at 19:09	comment	added	user2714795		No h is finite. I am pasting a link to the place from where the basic problem has arisen. statistics.stanford.edu/sites/default/files/EFS%20NSF%20159.pdf. On pg 9 of this the authors are trying to prove that $ \frac{1}{h^2}\int_0^h (f -f_h)^2 - \frac{1}{12} \int_{0}^{h}f^{'}^{2}$ can be small. The $1/12$ fraction only comes if we are able to get some kind of inequality as above. Since the author has not explicity mentioned hence I was trying to derive it. The $1/12 $ fraction appears to be coming from the min value that the expression can have.
Dec 2, 2018 at 18:58	comment	added	user64494		The question is unclearly formulated. In particular, could $h$ be $\infty$?
Dec 2, 2018 at 17:33	answer	added	Alexandre Eremenko		timeline score: 0
Dec 2, 2018 at 15:06	history	edited	Joe Silverman	CC BY-SA 4.0	Improved formatting
Dec 2, 2018 at 14:45	history	edited	user2714795	CC BY-SA 4.0	added 64 characters in body
Dec 2, 2018 at 14:27	history	edited	Pietro Majer	CC BY-SA 4.0	added 4 characters in body
Dec 2, 2018 at 14:22	comment	added	fedja		You certainly are in trouble if $f$ is concentrated near $0$, say $f=1$ on $[0,\delta]$ and $0$ on $(\delta,h]$ with $\delta\ll h$.
Dec 2, 2018 at 14:07	comment	added	user2714795		right, you are correct here
Dec 2, 2018 at 14:06	history	edited	user2714795	CC BY-SA 4.0	edited body
Dec 2, 2018 at 14:05	comment	added	Fedor Petrov		I guess you mean $0\le u,v\le h$
Dec 2, 2018 at 14:05	review	First posts
Dec 2, 2018 at 14:32
Dec 2, 2018 at 14:00	history	asked	user2714795	CC BY-SA 4.0