Given $x \in \mathbb{R}^n$ with $x \neq \vec{0}$, I want want to find the Lipschitz constant of the map $f(x) = \frac{\|x\|_\infty}{\|x\|_2} x$
In other words I want to find $K$ such that $\| f(x) - f(y) \| \leq K \|x-y\|$.
2026-03-26 06:29:11.1774506551
Lipschitz constant of $\frac{\|x\|_\infty}{\|x\|_2} x$
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