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01.09.2020

Shape preserving \(\alpha\)-fractal rational cubic splines

verfasst von: N. Balasubramani, M. Guru Prem Prasad, S. Natesan

Erschienen in: Calcolo | Ausgabe 3/2020

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Abstract

In this article, a new \(\alpha\)-fractal rational cubic spline is introduced with the help of the iterated function system (IFS) that contains rational functions. The numerator of the rational function contains a cubic polynomial and the denominator of the rational function contains a quadratic polynomial with three shape parameters. The convergence analysis of the \(\alpha\)-fractal rational cubic spline is established. By restricting the scaling factors and the shape parameters, the \(\alpha\)-fractal rational cubic spline is constrained between two piecewise linear functions whenever interpolation data lies in between two piecewise linear functions. Also, positivity and monotonicity of the \(\alpha\)-fractal rational cubic spline are discussed. Numerical examples are provided to support the theoretical results.

Vorheriger Artikel Implementation of second derivative general linear methods

Nächster Artikel On hyperbolic polynomials with four-term recurrence and linear coefficients

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Titel: Shape preserving -fractal rational cubic splines
verfasst von: N. Balasubramani
M. Guru Prem Prasad
S. Natesan
Publikationsdatum: 01.09.2020
Verlag: Springer International Publishing
Erschienen in: Calcolo / Ausgabe 3/2020
Print ISSN: 0008-0624
Elektronische ISSN: 1126-5434
DOI: https://doi.org/10.1007/s10092-020-00372-8

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