A generalization of Hata-Yamaguti's results on the Takagi function. II: Multinomial case

DOI10.1007/BF03167257zbMath0871.26006MaRDI QIDQ678007

Takeshi Sekiguchi, Yasunobu Shiota, Tatsuya Okada

Publication date: 31 August 1997

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

martingaledifference equationTakagi functionmultinomial measureSchauder expansion

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Additive difference equations (39A10) Martingales and classical analysis (60G46) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (7)

Moments of distributions related to digital expansions ⋮ An explicit formula of the exponential sums of digital sums ⋮ On hybrid fractal curves of the Heighway and Lévy dragon curves ⋮ Distribution of the sum-of-digits function of random integers: a survey ⋮ Order statistics of the generalised multinomial measure ⋮ Power and exponential sums for generalized coding systems by a measure theoretic approach ⋮ A probability measure which has Markov property

Cites Work

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• A harmonic calculus on the Sierpinski spaces
• On self-affine functions II
• Remarks on self-similarity
• On Some Singular Monotonic Functions Which Are Strictly Increasing

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