Some properties of fractal interpolation functions on Sierpinski gasket

DOI10.1016/j.jmaa.2011.02.059zbMath1223.28013OpenAlexW2084893490MaRDI QIDQ534750

Song-Gyong Ri, Huo-Jun Ruan

Publication date: 10 May 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.02.059

zbMATH Keywords

LaplacianSierpiński gasketfinite energyfractal interpolation functionnormal derivativemin-max property

Mathematics Subject Classification ID

Fractals (28A80)

Related Items

Concerning the vector-valued fractal interpolation functions on the Sierpiński gasket ⋮ Fractal functions on the Sierpinski gasket ⋮ Analytical and dimensional properties of fractal interpolation functions on the Sierpiński gasket ⋮ A note on complex-valued fractal functions on the Sierpiński gasket ⋮ Non-stationary \(\alpha \)-fractal functions and their dimensions in various function spaces ⋮ On dimension of fractal functions on product of the Sierpiński gaskets and associated measures ⋮ Energy and Laplacian of fractal interpolation functions ⋮ Some results for conjugate equations ⋮ GEODESICS OF HIGHER-DIMENSIONAL SIERPINSKI GASKET ⋮ On the box-counting dimension of graphs of harmonic functions on the Sierpiński gasket ⋮ FRACTAL INTERPOLATION FUNCTIONS ON AFFINE FRACTAL INTERPOLATION CURVES ⋮ \(\mathcal{L}^p\)-approximation using fractal functions on the Sierpiński gasket

Cites Work

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• Box dimension and fractional integral of linear fractal interpolation functions
• Fractal functions and interpolation
• Fractal interpolation on the Sierpiński gasket
• IMAGE COMPRESSION USING AFFINE FRACTAL INTERPOLATION ON RECTANGULAR LATTICES
• FRACTAL INTERPOLATION FUNCTIONS ON POST CRITICALLY FINITE SELF-SIMILAR SETS
• Using iterated function systems to model discrete sequences