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On the continuity and differentiability of a kind of fractal interpolation function

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Publication:698988
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DOI10.1007/BF02436216zbMath1010.28008OpenAlexW1965557662MaRDI QIDQ698988

Hangshan Gao, Hongda Li, Zheng-Lin Ye

Publication date: 9 December 2002

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02436216


zbMATH Keywords

differentiabilityHölder continuityiterated function systeminterpolation functionfractal


Mathematics Subject Classification ID

Fractals (28A80)


Related Items (1)

The smoothness of fractal interpolation functions on \(\mathbb{R}\) and on \(p\)-series local fields




Cites Work

  • The calculus of fractal interpolation functions
  • Fractal functions and interpolation
  • Hölder exponents and box dimension for self-affine fractal functions
  • The theory of fractal interpolated surface and its applications
  • Fractal functions and their applications
  • Mechanics on fractal bodies. Data compression using fractals
  • Self-affine fractal functions and wavelet series
  • FRACTAL APPROACHES IN SIGNAL PROCESSING
  • Construction of Orthogonal Wavelets Using Fractal Interpolation Functions




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