Minkowski's inequality · Qual Corpus

$L^p$ norms satisfy the triangle inequality.Suggest a slogan

Let $(X,\mcm,\mu)$ be a measure space, let $1\leq p<\infty$, and let $f,g\in L^p(\mu)$. Then $f+g\in L^p(\mu)$ and \[ \norm{f+g}_p \leq \norm{f}_p+ \norm{g}_p . \]

State Minkowski's inequality.

What is Minkowski's inequality?

Guide Appearances

$L^p$ spaces and convolution

What links to this

Common inequalities