Non approximate derivability of the Takagi function

zbMath1439.26026arXiv1807.08783MaRDI QIDQ5110183

Javier Gómez Gil, Juan Ferrera

Publication date: 18 May 2020

Full work available at URL: https://arxiv.org/abs/1807.08783

zbMATH Keywords

Takagi functionapproximate differentiability

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (2)

Superdifferential analysis of the Takagi-van der Waerden functions ⋮ Approximate differentiability in the generalized Takagi-van der Waerden class

Cites Work

• The Takagi function: a survey
• Approximate Taylor polynomials and differentiation of functions
• Subdifferentiable functions satisfy Lusin properties of class \(C^1\) or \(C^2\)
• On the Continuity of Van Der Waerden's Function in the Holder Sense
• Smooth Interpolation, Holder Continuity, and the Takagi-van der Waerden Function
• The Takagi Function and Its Properties
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