Box-counting dimensions of fractal interpolation surfaces derived from fractal interpolation functions

DOI10.1016/J.JMAA.2013.10.032zbMath1310.41001OpenAlexW2013614824MaRDI QIDQ2019115

Xiuqing Sun, Zhi-Gang Feng

Publication date: 27 March 2015

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.2013.10.032

zbMATH Keywords

box-counting dimensionvariationfractal interpolation surfaceaffine fractal interpolation function

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Hausdorff and packing measures (28A78)

Related Items (10)

Fractal functions on the Sierpinski gasket ⋮ Box dimension of \(\alpha\)-fractal function with variable scaling factors in subintervals ⋮ BOX DIMENSIONS OF α-FRACTAL FUNCTIONS ⋮ HÖLDER CONTINUITY AND BOX DIMENSION FOR THE MIXED RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL ⋮ NEW NONLINEAR RECURRENT HIDDEN VARIABLE FRACTAL INTERPOLATION SURFACES ⋮ Dimension estimation using weighted correlation dimension method ⋮ On the box-counting dimension of graphs of harmonic functions on the Sierpiński gasket ⋮ Analysis of fractal dimension of mixed Riemann-Liouville integral ⋮ Approximation properties of bivariate α-fractal functions and dimension results ⋮ FRACTAL INTERPOLATION FUNCTIONS ON AFFINE FRACTAL INTERPOLATION CURVES

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