Dimension and differentiability of a class of fractal interpolation functions

DOI10.1007/BF02662183zbMath0870.28005OpenAlexW2023666203MaRDI QIDQ1919347

Guozhong Wang

Publication date: 24 August 1997

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02662183

zbMATH Keywords

differentiabilityHausdorff dimensioniterated function systembox dimensionIFSfractal interpolation function

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Fractals (28A80)

Related Items (2)

Bivariate shape preserving interpolation: a fractal-classical hybrid approach ⋮ The smoothness of fractal interpolation functions on \(\mathbb{R}\) and on \(p\)-series local fields

Cites Work

• The capacity for a class of fractal functions
• Fractal functions and interpolation
• On the Hausdorff dimension of some fractal sets

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