Fractal dimension for a class of complex-valued fractal interpolation functions

DOI10.1007/978-981-99-0597-3_6arXiv2204.03622MaRDI QIDQ6117364

Manuj Verma, Amit Priyadarshi, Saurabh Verma

Publication date: 20 March 2024

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.03622

zbMATH Keywords

Hausdorff dimensionpacking dimensioniterated function systemsfractal interpolation functionsBox dimension

Mathematics Subject Classification ID

Fractals (28A80) Approximation by other special function classes (41A30)

Cites Work

• Hausdorff and upper box dimension estimate of hyperbolic recurrent sets
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• Fractal polynomial interpolation
• The calculus of fractal interpolation functions
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• Fractal functions and interpolation
• Vector-valued fractal interpolation functions and their box dimensions
• Dimensions of graphs of functions and lacunary decompositions of spline approximations
• A remark on decomposition of continuous functions
• Dimensional analysis of \(\alpha\)-fractal functions
• Bilinear fractal interpolation and box dimension
• On the box-counting dimension of graphs of harmonic functions on the Sierpiński gasket
• The horizon problem for prevalent surfaces
• Hidden Variable Fractal Interpolation Functions
• On the Hausdorff Dimension of Some Graphs
• On self-affine functions
• Separation Properties for Self-Similar Sets
• On the Hausdorff Dimension of Graphs of Prevalent Continuous Functions on Compact Sets
• THE CALCULUS OF BIVARIATE FRACTAL INTERPOLATION SURFACES
• A REVISIT TO α-FRACTAL FUNCTION AND BOX DIMENSION OF ITS GRAPH

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