A NEW NONLINEAR FRACTAL INTERPOLATION FUNCTION

DOI10.1142/S0218348X17500633zbMath1432.41001OpenAlexW2760962260MaRDI QIDQ5219472

Song-Il Ri

Publication date: 12 March 2020

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x17500633

zbMATH Keywords

fractal interpolation functioniterated function system (IFS)Matkowski's fixed point theoremrakotch contraction

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Fractals (28A80)

Related Items (18)

Fractal functions on the Sierpinski gasket ⋮ Interpolative operators: fractal to multivalued fractal ⋮ A REVISIT TO α-FRACTAL FUNCTION AND BOX DIMENSION OF ITS GRAPH ⋮ CONSTRUCTION OF NONLINEAR HIDDEN VARIABLE FRACTAL INTERPOLATION FUNCTIONS AND THEIR STABILITY ⋮ FRACTAL INTERPOLATION ALGORITHMS FOR COMPLEX CURVES AND SURFACES ⋮ Nonlinear fractal interpolation curves with function vertical scaling factors ⋮ On the fractal interpolation functions associated with Matkowski contractions ⋮ NEW NONLINEAR RECURRENT HIDDEN VARIABLE FRACTAL INTERPOLATION SURFACES ⋮ Nonlinear fractal interpolation functions on the Koch curve ⋮ On the construction of recurrent fractal interpolation functions using Geraghty contractions ⋮ A very general framework for fractal interpolation functions ⋮ New types of fractal interpolation surfaces ⋮ NONLINEAR RECURRENT HIDDEN VARIABLE FRACTAL INTERPOLATION CURVES WITH FUNCTION VERTICAL SCALING FACTORS ⋮ A fractal version of a bivariate Hermite polynomial interpolation ⋮ BOX DIMENSION OF A NONLINEAR FRACTAL INTERPOLATION CURVE ⋮ A fractal operator associated with bivariate fractal interpolation functions on rectangular grids ⋮ Hölder continuous fractal interpolation functions ⋮ FRACTAL INTERPOLATION FUNCTIONS ON AFFINE FRACTAL INTERPOLATION CURVES

Cites Work

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• BIVARIATE FRACTAL INTERPOLATION FUNCTIONS ON GRIDS
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