Relations between p norms - Mathematics Stack Exchange
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linear algebra - How do I calculate the $p$-norm of a matrix ...
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inequality - Is the "$p$-norm" with $0<p<1$ a concave function ...
Jun 14, 2018 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
real analysis - How to prove triangle inequality for $p$-norm ...
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Why is every $p$-norm convex? - Mathematics Stack Exchange
May 14, 2017 · What is left to show is, that the p-norm is in fact a norm. The first two requirements are pretty easy to show, the third is hard. That is why it has its own name: the Minkowski Inequality which is a result of the Hölder inequality and shows that the triangle inequality holds for every p-norm (if p>1) and thus that it is a norm.
real analysis - How do you prove the $p$-norm is not a norm in …
I see that it fails to satisfy the triangle inequality by example but I don't see how to prove this is the case for all $0 < p < 1$.
real analysis - Limit of $L^p$ norm - Mathematics Stack Exchange
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Prove the $p$-norm is indeed a norm - Mathematics Stack Exchange
Dec 2, 2015 · Prove that $\|x\|_p=\left(\sum\limits_{j=1}^n\, |x_j|^p\right)^{\frac{1}{p}}$ is a norm for $1<p<\infty$.
Induced matrix p-norm example - Mathematics Stack Exchange
Induced matrix p-norm example. Ask Question Asked 9 years, 1 month ago. Modified 9 years, 1 month ago.
Proving inequality between $p$-norm and $q$-norm
Jul 23, 2015 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.