Hey guys.

How can I prove the triangle inequality for this norm.

I marked in green what I did but then I got stuck.

Thanks in advance.

Printable View

- January 28th 2009, 07:43 AMasi123triangle inequality
Hey guys.

How can I prove the triangle inequality for this norm.

I marked in green what I did but then I got stuck.

Thanks in advance. - January 28th 2009, 10:23 AMOpalg
This is Minkowski's inequality. You can find proofs online if you Google for them.

The basic idea is start with

and then use Hölder's inequality on each of those two sums. - January 28th 2009, 10:24 AMMoo
- January 28th 2009, 10:29 AMasi123
- January 28th 2009, 10:34 AMMoo