Let $C$ is a classical Cantor set. Can we find a number $\alpha>1$ and non-constant function $f: C\to \mathbb{R}$, such that $$|f(x)-f(y)|\le 2000|x-y|^\alpha, \ \forall x,y\in C.$$.
It will be great if someone give me a tip.
2026-03-27 23:38:31.1774654711
Function on Cantor set
79 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in CANTOR-SET
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