Box dimension of \(\alpha\)-fractal function with variable scaling factors in subintervals

DOI10.1016/j.chaos.2017.07.002zbMath1375.28011OpenAlexW2727570766MaRDI QIDQ1681705

Md. Nasim Akhtar, M. Guru Prem Prasad, M. A. Navascués

Publication date: 24 November 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2017.07.002

zbMATH Keywords

box-counting dimensionsfractal interpolation functions\(\alpha\)-fractal interpolation functionsvariable scaling factors

Mathematics Subject Classification ID

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

Related Items (11)

FRACTAL DIMENSION OF MULTIVARIATE α-FRACTAL FUNCTIONS AND APPROXIMATION ASPECTS ⋮ Construction of new fractal interpolation functions through integration method ⋮ New equilibria of non-autonomous discrete dynamical systems ⋮ A REVISIT TO α-FRACTAL FUNCTION AND BOX DIMENSION OF ITS GRAPH ⋮ CONSTRUCTION OF NEW AFFINE AND NON-AFFINE FRACTAL INTERPOLATION FUNCTIONS THROUGH THE WEYL–MARCHAUD DERIVATIVE ⋮ NEW NONLINEAR RECURRENT HIDDEN VARIABLE FRACTAL INTERPOLATION SURFACES ⋮ Parameter Identification for a Class of Bivariate Fractal Interpolation Functions and Constrained Approximation ⋮ A fractal operator associated with bivariate fractal interpolation functions on rectangular grids ⋮ On the box-counting dimension of graphs of harmonic functions on the Sierpiński gasket ⋮ Stereographic metric and dimensions of fractals on the sphere ⋮ More general fractal functions on the sphere

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