A new idea to construct the fractal interpolation function

DOI10.1016/j.indag.2018.03.001zbMath1392.28011OpenAlexW2791048880WikidataQ130115866 ScholiaQ130115866MaRDI QIDQ1749023

Song-Il Ri

Publication date: 15 May 2018

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2018.03.001

zbMATH Keywords

iterated function system (IFS)Rakotch contractionMatkowski's fixed point theoremfractal interpolation function (FIF)

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (19)

Concerning the vector-valued fractal interpolation functions on the Sierpiński gasket ⋮ Fractal functions on the Sierpinski gasket ⋮ APPROXIMATION WITH FRACTAL FUNCTIONS BY FRACTAL DIMENSION ⋮ Non-stationary \(\phi\)-contractions and associated fractals ⋮ A fractalization of rational trigonometric functions ⋮ New type of fractal functions for the general data sets ⋮ Dimensions of new fractal functions and associated measures ⋮ A REVISIT TO α-FRACTAL FUNCTION AND BOX DIMENSION OF ITS GRAPH ⋮ FRACTAL INTERPOLATION ALGORITHMS FOR COMPLEX CURVES AND SURFACES ⋮ NEW NONLINEAR RECURRENT HIDDEN VARIABLE FRACTAL INTERPOLATION SURFACES ⋮ A very general framework for fractal interpolation functions ⋮ Bernstein super fractal interpolation function for countable data systems ⋮ NONLINEAR RECURRENT HIDDEN VARIABLE FRACTAL INTERPOLATION CURVES WITH FUNCTION VERTICAL SCALING FACTORS ⋮ Countable zipper fractal interpolation and some elementary aspects of the associated nonlinear zipper fractal operator ⋮ Fractal approximation of a function from a countable sample set and associated fractal operator ⋮ BOX DIMENSION OF A NONLINEAR FRACTAL INTERPOLATION CURVE ⋮ A countable fractal interpolation scheme involving Rakotch contractions ⋮ CONSTRUCTION OF A CLASS OF WEIGHTED BIVARIATE FRACTAL INTERPOLATION FUNCTIONS ⋮ FRACTAL INTERPOLATION FUNCTIONS ON AFFINE FRACTAL INTERPOLATION CURVES

Cites Work

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• A Comparison of Various Definitions of Contractive Mappings
• Equivalence of some contractivity properties over metrical structures
• ON A CERTAIN GENERALISATION OF THE ITERATED FUNCTION SYSTEM

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