convergence in Lp, convergence for p smaller infinity

Printable View

Show 40 post(s) from this thread on one page

October 22nd 2012, 12:39 PM
huberscher

Re: convergence in Lp, convergence for p smaller infinity

What about this example:

$f_n:=\frac{1}{n*x}$

$\forall x \in (0,\frac{1}{2}) \rightarrow |f_n(x)|\ge \frac{1}{n*\frac{1}{2*n}}=2$

and $\int_{[0,1]} |f_n|^p = \frac{1}{n^p * (1-p)}$

I think this one clearly works now, yes?

Show 40 post(s) from this thread on one page

All times are GMT -8. The time now is 05:09 AM.

Copyright © 2005-2013 Math Help Forum. All rights reserved.

Copyright © 2005-2013 Math Help Forum. All rights reserved.