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BIT Numerical Mathematics

Erschienen in:

06.09.2019

Affine zipper fractal interpolation functions

verfasst von: A. K. B. Chand, N. Vijender, P. Viswanathan, A. V. Tetenov

Erschienen in: BIT Numerical Mathematics | Ausgabe 2/2020

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Abstract

This paper introduces a univariate interpolation scheme using a binary parameter called signature such that the graph of the interpolant—which we refer to as affine zipper fractal interpolation function—is obtained as an attractor of a suitable affine zipper. The scaling vector function is identified so that the graph of the corresponding affine zipper fractal interpolation function can be inscribed within a prescribed rectangle. Convergence analysis of the proposed affine zipper fractal interpolant is carried out. It is observed that for a fixed choice of discrete scaling factors, the box counting dimension of the graph of an affine zipper fractal interpolant is independent of the choice of a signature. Several examples of affine zipper fractal interpolants are presented to supplement our theory.

Vorheriger Artikel A polynomial Jacobi–Davidson solver with support for non-monomial bases and deflation

Nächster Artikel Poincaré–Friedrichs inequalities of complexes of discrete distributional differential forms

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Titel: Affine zipper fractal interpolation functions
verfasst von: A. K. B. Chand
N. Vijender
P. Viswanathan
A. V. Tetenov
Publikationsdatum: 06.09.2019
Verlag: Springer Netherlands
Erschienen in: BIT Numerical Mathematics / Ausgabe 2/2020
Print ISSN: 0006-3835
Elektronische ISSN: 1572-9125
DOI: https://doi.org/10.1007/s10543-019-00774-3

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