A Concretization of an Approximation Method for Non-Affine Fractal Interpolation Functions

نویسندگان

چکیده

The present paper concretizes the models proposed by S. Ri and N. Secelean. construction of fractal interpolation function (FIF) considering finite systems consisting Rakotch contractions, but produced no concretization model. Secelean considered countable Banach contractions to produce function. Based on abovementioned results, in this paper, we propose two different algorithms functions both affine non-affine cases. theoretical context were working suppose a set starting points system contractions. Due computational restrictions, constructed applications have weakness that they use In respect, attractor obtained is two-step approximation. large number used computations graphical results lead us conclusion good approximation cases, FIFs. way, also provide scheme presented C.M. Păcurar.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2021

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math9070767