Fractal interpolation on the Koch curve

DOI10.1016/j.camwa.2010.03.008zbMath1198.28012OpenAlexW2047637319MaRDI QIDQ604014

P. Paramanathan, Ramasamy Uthayakumar

Publication date: 8 November 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.03.008

zbMATH Keywords

harmonic functionsKoch curveself-similar functionsfractal interpolation

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (6)

Fractal functions on the Sierpinski gasket ⋮ Arithmetic-analytical expression of the Koch-type curves and their generalizations. I ⋮ A remarkable fact for the box dimensions of fractal interpolation curves of \(\mathbb{R}^3\) ⋮ Nonlinear fractal interpolation functions on the Koch curve ⋮ PCF self-similar sets and fractal interpolation ⋮ FRACTAL INTERPOLATION FUNCTIONS ON AFFINE FRACTAL INTERPOLATION CURVES

Cites Work

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• Calculus on the Sierpinski gasket. I: Polynomials, exponentials and power series
• Derivatives of the restrictions of harmonic functions on the Sierpinski gasket to segments
• Fractal interpolation on the Sierpiński gasket
• Fractal interpolants on the unit circle

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