Approximate differentiability in the generalized Takagi-van der Waerden class
DOI10.1007/s10476-022-0135-9OpenAlexW4223522026MaRDI QIDQ2678406
Jesús Llorente, Javier Gómez Gil, Juan Ferrera
Publication date: 23 January 2023
Published in: Analysis Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10476-022-0135-9
Hölder continuityLipschitz propertyapproximate differentiabilityLusin-type propertygeneralized Takagi-van der Waerden class
Lipschitz (Hölder) classes (26A16) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Singular functions, Cantor functions, functions with other special properties (26A30) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)
Cites Work
- The Takagi function: a survey
- On generalized Takagi functions
- On the Hölder continuity of certain functions
- Approximate Taylor polynomials and differentiation of functions
- Subdifferentiable functions satisfy Lusin properties of class \(C^1\) or \(C^2\)
- Differentiability of the functions of the generalized Takagi class
- Second order differentiability and related topics in the Takagi class
- Superdifferential analysis of the Takagi-van der Waerden functions
- On the level sets of the Takagi-van der Waerden functions
- Infinite derivatives of the Takagi-Van der Waerden functions
- The Takagi function and its generalization
- The Takagi Function and Its Properties
- Non approximate derivability of the Takagi function
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