Nonlinear fractal interpolation curves with function vertical scaling factors

JinMyong Kim, HyonJin Kim and HakMyong Mun ()
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JinMyong Kim: Kim Il Sung University
HyonJin Kim: Kim Il Sung University
HakMyong Mun: Kim Il Sung University

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 2, 483-499

Abstract: Abstract In this paper we present a method to generate new fractal interpolation curves. We ensure that attractors of nonlinear iterated function systems (IFSs) constructed by Geraghty contractions are graphs of some continuous functions which interpolate the given data. In particular, we give an explicit illustrative example to demonstrate the effectiveness of obtained results. Concerning IFSs, our methods and results extend known results from the literature.

Keywords: Iterated function system; fractal interpolation function; fractal interpolation curve; Geraghty contraction; Rakotch contraction; 37C45; 28A80 (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s13226-020-0412-x

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