Extreme values of some continuous nowhere differentiable functions

DOI10.1017/S0305004105008984zbMath1086.26004OpenAlexW2110785107MaRDI QIDQ5896815

Kiko Kawamura, Pieter C. Allaart

Publication date: 22 March 2006

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004105008984

zbMATH Keywords

Cantor setHausdorff dimensionLebesgue singular functionTakagi function

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Fractals (28A80) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

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Singular functions with applications to fractal dimensions and generalized Takagi functions ⋮ Spectral gap property for random dynamics on the real line and multifractal analysis of generalised Takagi functions ⋮ A new generalization of the Takagi function ⋮ Asymptotic expansions for linear homogeneous divide-and-conquer recurrences: algebraic and analytic approaches collated ⋮ The Takagi function: a survey ⋮ Level sets of the Takagi function: local level sets ⋮ Cooperation principle, stability and bifurcation in random complex dynamics ⋮ Pointwise Hölder exponents of the complex analogues of the Takagi function in random complex dynamics ⋮ A note on Katugampola fractional calculus and fractal dimensions ⋮ Level sets of the Takagi function: Hausdorff dimension ⋮ The Hausdorff dimension of the level sets of Takagi's function ⋮ Takagi functions and approximate midconvexity ⋮ On the set of points where Lebesgue's singular function has the derivative zero

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