On continuous functions with no unilateral derivatives

DOI10.5802/aif.1134zbMath0641.26010OpenAlexW2335615961MaRDI QIDQ1100572

Masayoshi Hata

Publication date: 1988

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1988__38_2_43_0

zbMATH Keywords

de Rham's functional equationscontinuous functions on the unit interval which have nowhere a unilateral derivativeset of knot points

Mathematics Subject Classification ID

Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (5)

Non-differentiability and Hölder properties of self-affine functions ⋮ Fractal functions with continuous Weil-type derivatives of variable order in control of distributed systems ⋮ Continuous Maps Admitting No Tangent Lines: A Centennial of Besicovitch Functions ⋮ The subdivision schemes of Besicovitch and Cantor ⋮ Porosity and continuous, nowhere differentiable functions

Cites Work

• On the structure of self-similar sets
• On Asymmetrical Derivates of Non-Differentiable Functions
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