The Takaga Operator, Bernoulli Sequences, Smoothness Conditions, and Fractal Curves

DOI10.2307/2160288zbMath0804.28004OpenAlexW4238696375MaRDI QIDQ4306001

Peter Wingren, Anca Deliu

Publication date: 15 January 1995

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2160288

zbMATH Keywords

Hausdorff dimensionHausdorff measurebox dimensionfunctions of bounded variationLipschitz spacesfractalnowhere differentiable functionsBernoulli sequencessmoothness coversTakagi operator

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

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