On the critical case of Okamoto's continuous non-differentiable functions

DOI10.3792/pjaa.85.101zbMath1184.26003OpenAlexW2043494899MaRDI QIDQ1046448

Kenta Kobayashi

Publication date: 22 December 2009

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.85.101

zbMATH Keywords

the law of the iterated logarithmcontinuous non-differentiable function

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (10)

Singular function emerging from one-dimensional elementary cellular automaton rule 150 ⋮ The infinite derivatives of Okamoto's self-affine functions: an application of \(\beta\)-expansions ⋮ Differentiability of a two-parameter family of self-affine functions ⋮ The partial derivative of Okamoto's functions with respect to the parameter ⋮ Box-counting dimension and differentiability of box-like statistically self-affine functions ⋮ Differentiability and Hölder spectra of a class of self-affine functions ⋮ A geometric construction of continuous, strictly increasing singular functions ⋮ A family of singular functions and its relation to harmonic fractal analysis and fuzzy logic ⋮ On regularity for de Rham's functional equations ⋮ Multiscale functions, scale dynamics, and applications to partial differential equations

Cites Work

• A remark on continuous, nowhere differentiable functions
• A geometric construction of continuous, strictly increasing singular functions
• On the Law of the Iterated Logarithm
• Unnamed Item

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