Construction and dimension analysis for a class of fractal functions

DOI10.1007/S102550200043zbMath1012.28008OpenAlexW1988650068MaRDI QIDQ1862814

Hongyong Wang, Zong Ben Xu

Publication date: 25 June 2003

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s102550200043

zbMATH Keywords

Hausdorff dimensionHölder continuitybox dimensionpacking dimensionfractal setsfractal functionsfractal dimensionsBush type functionsCantor series expressionnowhere differentiable continuous functions

Mathematics Subject Classification ID

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

Related Items (1)

Number theoretic applications of a class of Cantor series fractal functions. I

Cites Work

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• Fractal functions and interpolation
• Singularities of the Weierstrass type functions
• Dimension analysis on a class of Bush type fractal surfaces
• On the Hausdorff dimension of some fractal sets
• Fractal Dimensions and Singularities of the Weierstrass Type Functions
• Continuous Functions without Derivatives

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