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2023 | OriginalPaper | Chapter

Positivity Preserving Rational Quartic Spline Zipper Fractal Interpolation Functions

Authors : Vijay, A. K. B. Chand

Published in: Frontiers in Industrial and Applied Mathematics

Publisher: Springer Nature Singapore

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Abstract

The chapter delves into the development of a novel rational quartic spline zipper fractal interpolation function (RQS ZFIF) with variable scaling functions. It begins by formulating a class of rational quartic splines using a binary vector, and then constructs the RQS ZFIF using zipper theory. The work includes a thorough convergence analysis, demonstrating that the RQS ZFIF can converge to a data generating function with a high order of accuracy. Additionally, it provides sufficient conditions for the RQS ZFIF to preserve positivity, making it suitable for applications involving positive data sets. The chapter concludes with numerical examples and a discussion on the expansion of the class of rational quartic splines, highlighting the flexibility and potential of the proposed method in various scientific and engineering domains.

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Title: Positivity Preserving Rational Quartic Spline Zipper Fractal Interpolation Functions
Authors: Vijay
A. K. B. Chand
Publisher: Springer Nature Singapore
Book: Frontiers in Industrial and Applied Mathematics
Print ISBN: 978-981-19-7271-3

Electronic ISBN: 978-981-19-7272-0

Copyright Year: 2023
DOI: https://doi.org/10.1007/978-981-19-7272-0_37

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