On cubic Hermite coalescence hidden variable fractal interpolation functions

DOI10.1007/s11766-015-3265-zzbMath1340.41003OpenAlexW2072994828MaRDI QIDQ902404

Veedu Viswanathan Puthan, Kumar Bedabrata Chand Arya

Publication date: 15 January 2016

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-015-3265-z

zbMATH Keywords

convergencecoalescencecubic splinefractal interpolation functioncubic Hermite interpolant

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Fractals (28A80) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (6)

Box-counting dimension and analytic properties of hidden variable fractal interpolation functions with function contractivity factors ⋮ Construction of cubic spline hidden variable recurrent fractal interpolation function and its fractional calculus ⋮ A remarkable fact for the box dimensions of fractal interpolation curves of \(\mathbb{R}^3\) ⋮ Riemann-Liouville fractional derivatives of hidden variable recurrent fractal interpolation functions with function scaling factors and box dimension ⋮ A fractal interpolation scheme for a possible sizeable set of data ⋮ Approximation using hidden variable fractal interpolation function

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