On one class of functions with complicated local structure

zbMath1382.26002arXiv1601.06126MaRDI QIDQ4604313

Symon Serbenyuk

Publication date: 23 February 2018

Full work available at URL: https://arxiv.org/abs/1601.06126

zbMATH Keywords

Lebesgue integralHausdorff-Besicovitch dimensionself-similar setnowhere differentiable functionfunction with complicated local structure

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

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