Box-counting dimension of graphs of generalized Takagi series

DOI10.1007/BF03167241zbMath0877.28003OpenAlexW2028240485MaRDI QIDQ1922222

Fukiko Takeo

Publication date: 6 November 1997

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167241

zbMATH Keywords

Hausdorff dimensionbox-counting dimensionfractalTakagi functionnowhere differentiable continuous functionTakagi series

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (1)

Application of rotational spectrum for correlation dimension estimation

Cites Work

• On the Hausdorff Dimension of Some Graphs
• The Takagi function and its generalization
• On the Weierstrass-Mandelbrot fractal function
• Fractal Dimensions and Singularities of the Weierstrass Type Functions
• Sets of Fractional Dimensions (V): on Dimensional Numbers of Some Continuous Curves

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