Smooth Interpolation, Holder Continuity, and the Takagi-van der Waerden Function

DOI10.2307/3647774zbMath1050.26004OpenAlexW4235871466MaRDI QIDQ4416440

George Kozlowski, Jack B. Brown

Publication date: 3 August 2003

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3647774

zbMATH Keywords

smooth interpolationLipschitz functionsTakagi function\(C^1\) functions

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (9)

Superdifferential analysis of the Takagi-van der Waerden functions ⋮ The Takagi function: a survey ⋮ Jack Brown -- in memoriam ⋮ A Hölder continuous nowhere improvable function with derivative singular distribution ⋮ Subdifferentiable functions satisfy Lusin properties of class \(C^1\) or \(C^2\) ⋮ Level sets of the Takagi function: Hausdorff dimension ⋮ Non approximate derivability of the Takagi function ⋮ Spectral Operators of Matrices: Semismoothness and Characterizations of the Generalized Jacobian ⋮ Infinite derivatives of the Takagi-Van der Waerden functions

This page was built for publication: Smooth Interpolation, Holder Continuity, and the Takagi-van der Waerden Function