On the box-counting dimension of graphs of harmonic functions on the Sierpiński gasket
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Publication:2308385
DOI10.1016/j.jmaa.2020.124036zbMath1436.28009arXiv1809.09393OpenAlexW3012378926MaRDI QIDQ2308385
Amit Priyadarshi, Abhilash Sahu
Publication date: 3 April 2020
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.09393
Related Items (12)
Concerning the vector-valued fractal interpolation functions on the Sierpiński gasket ⋮ BOUNDED VARIATION ON THE SIERPIŃSKI GASKET ⋮ ON FRACTAL DIMENSIONS OF FRACTAL FUNCTIONS USING FUNCTION SPACES ⋮ Non-stationary \(\phi\)-contractions and associated fractals ⋮ Vector-valued fractal functions: fractal dimension and fractional calculus ⋮ Box dimension and fractional integrals of multivariate \(\alpha\)-fractal functions ⋮ Analytical and dimensional properties of fractal interpolation functions on the Sierpiński gasket ⋮ Dimensions of new fractal functions and associated measures ⋮ Fractal dimension for a class of complex-valued fractal interpolation functions ⋮ A note on complex-valued fractal functions on the Sierpiński gasket ⋮ On dimension of fractal functions on product of the Sierpiński gaskets and associated measures ⋮ \(\mathcal{L}^p\)-approximation using fractal functions on the Sierpiński gasket
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