A Characterization of the Nondifferentiability Set of the Cantor Function

DOI10.2307/2039704zbMath0276.26008OpenAlexW4236124533MaRDI QIDQ4402576

J. A. Eidswick

Publication date: 1974

Full work available at URL: https://doi.org/10.2307/2039704

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Continued fractions and generalizations (11J70) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (6)

The infinite derivatives of Okamoto's self-affine functions: an application of \(\beta\)-expansions ⋮ Differentiability of a two-parameter family of self-affine functions ⋮ A singular function with a non-zero finite derivative on a dense set with Hausdorff dimension one ⋮ Cantor type functions in non-integer bases ⋮ The Cantor function ⋮ Hausdorff dimension of sets of non-differentiability points of Cantor functions

Cites Work

• Dini Derivatives of Continuous Functions
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