Faber F1

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The Faber function $F_1$ is defined by $$F_1(x)=\displaystyle\sum_{k=1}^{\infty} \dfrac{1}{10^k} \displaystyle\inf_{m \in \mathbb{Z}} \left|2^{k!} x -m \right|.$$

Properties[edit]

Faber F1 is continuous
Faber F1 is nowhere differentiable

See Also[edit]

Faber F2

References[edit]

[1]

Continuous nowhere differentiable functions