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.

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- Jan 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. - Jan 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. - Jan 28th 2009, 10:24 AMMoo
- Jan 28th 2009, 10:29 AMasi123
- Jan 28th 2009, 10:34 AMMoo