On a class of Besicovitch functions to have exact box dimension: A necessary and sufficient condition

DOI10.1002/mana.200310267zbMath1065.28004OpenAlexW1986167278MaRDI QIDQ3022676

G. L. He, Song Ping Zhou

Publication date: 30 June 2005

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200310267

zbMATH Keywords

box dimensionfractal dimensionBesicovitch function

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (5)

On a class of fractals: the constructive structure ⋮ On the fractional calculus of Besicovitch function ⋮ Box dimension of the limit of Hölder functions ⋮ The Weyl-Marchaud fractional derivative of a type of self-affine functions ⋮ On a class of fractal functions with graph box dimension 2

Cites Work

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• On the Weierstrass-Mandelbrot fractal function

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