Abstract
We give the characterization of the differentiability and nondifferentiability points of a generalization of the Riesz–Nágy–Takács (RNT) singular function, namely, the generalized RNT (GRNT) singular function. A particular characterization generalizes recent multifractal and metric-number-theoretical results associated with the RNT singular function. Furthermore, we compute the moments of the GRNT singular function.
Citation
In-Soo Baek. "The derivative and moment of the generalized Riesz–Nágy–Takács function." Kyoto J. Math. 57 (1) 185 - 195, April 2017. https://doi.org/10.1215/21562261-3759567
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