Superdifferential analysis of the Takagi-van der Waerden functions

DOI10.1007/s11228-021-00620-1zbMath1506.26002OpenAlexW3216628783MaRDI QIDQ2158822

Juan Ferrera, Jesús Llorente, Javier Gómez Gil

Publication date: 26 July 2022

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-021-00620-1

zbMATH Keywords

Hausdorff dimensionHausdorff measuresuperdifferentialTakagi-van der Waerden functionsglobal maxima setlocal maxima set

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Singular functions, Cantor functions, functions with other special properties (26A30) Hausdorff and packing measures (28A78) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (1)

Approximate differentiability in the generalized Takagi-van der Waerden class

Cites Work

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• Smooth Interpolation, Holder Continuity, and the Takagi-van der Waerden Function
• The Takagi Function and Its Properties
• Non approximate derivability of the Takagi function
• Some Remarks on the Construction of Continuous Non-Differentiable Functions

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