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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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.
Hello, Originally Posted by asi123 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. Consider And then you know that So , which implies And hence Now take the p-th root and you're done.
Originally Posted by Moo take the p-th root and you're done. Do what? Thanks a lot.
Originally Posted by asi123 Do what? Thanks a lot. Nah >< I'm really sorry, I thought you wanted to prove the green stuff (p-th root of x is )
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