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- W2968796568 abstract "We consider a generalized version of the Takagi function, which is one of the most famous example of nowhere differentiable continuous functions. We investigate a set of conditions to describe the rate of convergence of Takagi class functions from the probabilistic point of view: The law of large numbers, the central limit theorem, and the law of iterated logarithm. On the other hand, we show that the Takagi function itself does not satisfy the law of large numbers in the usual sense." @default.
- W2968796568 created "2019-08-22" @default.
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- W2968796568 date "2019-11-13" @default.
- W2968796568 modified "2023-10-12" @default.
- W2968796568 title "On the rate of convergence for Takagi class functions" @default.
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- W2968796568 doi "https://doi.org/10.1007/s13160-019-00398-8" @default.
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