Faber F2

From specialfunctionswiki
Jump to: navigation, search

The Faber function $F_2$ is defined by $$F_2(x)=\displaystyle\sum_{k=1}^{\infty} \dfrac{1}{k!} \displaystyle\inf_{m \in \mathbb{Z}} \left|2^{k!}x-m \right|.$$

Properties[edit]

Faber F2 is continuous
Faber F2 is nowhere differentiable

See Also[edit]

Faber F1

References[edit]

[1]

Continuous nowhere differentiable functions