A generalized Takagi function for beta-expansions is pointwise α-Hölder continuous for all α in (0,1) but not pointwise Lipschitz continuous except on a Lebesgue null set.
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A generalization of the Takagi function for beta-expansions
A generalized Takagi function for beta-expansions is pointwise α-Hölder continuous for all α in (0,1) but not pointwise Lipschitz continuous except on a Lebesgue null set.