On probabilistic properties of Takagi's function

DOI10.1215/kjm/1250520068zbMath0733.26004OpenAlexW1550324611MaRDI QIDQ810162

Nicko G. Gamkrelidze

Publication date: 1990

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250520068

zbMATH Keywords

asymptotically normalTakagi's nowhere differentiable continuous function

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (6)

A probabilistic approach to the \(\varPhi \)-variation of classical fractal functions with critical roughness ⋮ The Takagi function: a survey ⋮ Central limit theorem for generalized Weierstrass functions ⋮ On a flexible class of continuous functions with uniform local structure ⋮ On the rate of convergence for Takagi class functions ⋮ A probabilistic property of Katsuura's continuous nowhere differentiable function

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