Infinite derivatives of the Takagi-Van der Waerden functions

DOI10.1016/j.jmaa.2019.06.063zbMath1423.26008arXiv1903.11631OpenAlexW2950921187WikidataQ127657512 ScholiaQ127657512MaRDI QIDQ2320120

Javier Gómez Gil, Jesús Llorente, Juan Ferrera

Publication date: 21 August 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.11631

zbMATH Keywords

Hausdorff dimensionLebesgue measureinfinite derivativesTakagi-Van der Waerden functions

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 (5)

Second order differentiability and related topics in the Takagi class ⋮ Superdifferential analysis of the Takagi-van der Waerden functions ⋮ Continuous Maps Admitting No Tangent Lines: A Centennial of Besicovitch Functions ⋮ Approximate differentiability in the generalized Takagi-van der Waerden class ⋮ Differentiability of the functions of the generalized Takagi class

Cites Work

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• The Takagi function: a survey
• On the Hölder continuity of certain functions
• The improper infinite derivatives of Takagi's nowhere-differentiable function
• On the level sets of the Takagi-van der Waerden functions
• On totally differentiable and smooth functions
• On Maxima of Takagi-van der Waerden Functions
• Smooth Interpolation, Holder Continuity, and the Takagi-van der Waerden Function
• The Takagi Function and Its Properties
• THE FRACTIONAL DIMENSION OF A SET DEFINED BY DECIMAL PROPERTIES
• Some Remarks on the Construction of Continuous Non-Differentiable Functions

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