A generalization of Hata-Yamaguti's results on the Takagi function

DOI10.1007/BF03167680zbMath0733.26003OpenAlexW2082199868MaRDI QIDQ810161

Yasunobu Shiota, Takeshi Sekiguchi

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1007/bf03167680

zbMATH Keywords

Schauder basisdifference equationsmartingaleLebesgue's singular functionSchauder expansionsTakagi's nowhere differentiable function

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 (8)

An explicit formula of the exponential sums of digital sums ⋮ Spectral gap property for random dynamics on the real line and multifractal analysis of generalised Takagi functions ⋮ The partial derivative of Okamoto's functions with respect to the parameter ⋮ The Takagi function: a survey ⋮ Cooperation principle, stability and bifurcation in random complex dynamics ⋮ Power and exponential sums for generalized coding systems by a measure theoretic approach ⋮ A generalization of Hata-Yamaguti's results on the Takagi function. II: Multinomial case ⋮ A probability measure which has Markov property

Cites Work

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• On generalized Takagi functions
• The Takagi function and its generalization
• Harmonic Calculus on P.C.F. Self-Similar Sets

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