Sur l'exemple, donné par M. de Rham, d'une fonction continue sans dérivée

zbMath0090.27202MaRDI QIDQ771766

Jean-Pierre Kahane

Publication date: 1959

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

zbMATH Keywords

differentiation and integration, measure theory

Related Items (18)

Step roots of Littlewood polynomials and the extrema of functions in the Takagi class ⋮ Unnamed Item ⋮ Superdifferential analysis of the Takagi-van der Waerden functions ⋮ On global extrema of power Takagi functions ⋮ The Takagi function: a survey ⋮ Level sets of the Takagi function: local level sets ⋮ Global extrema of the Delange function, bounds for digital sums and concave functions ⋮ An Amusing Sequence of Functions ⋮ The finite cardinalities of level sets of the Takagi function ⋮ Level sets of signed Takagi functions ⋮ On (signed) Takagi-Landsberg functions: \(p\)th variation, maximum, and modulus of continuity ⋮ On a class of generalized Takagi functions with linear pathwise quadratic variation ⋮ The Hausdorff dimension of the level sets of Takagi's function ⋮ How large are the level sets of the Takagi function? ⋮ On a flexible class of continuous functions with uniform local structure ⋮ Takagi functions and approximate midconvexity ⋮ Distribution of the maxima of random Takagi functions ⋮ Hausdorff dimension of local level sets of Takagi's function

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