Rational cubic spline zipper fractal functions and their shape aspects Full article
| Journal |
Journal of Mathematical Sciences (United States)
ISSN: 1072-3374 , E-ISSN: 1573-8795 |
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| Output data | Year: 2025, Volume: 2025, DOI: 10.1007/s10958-025-07569-8 | ||||
| Tags | Rational cubic spline · Fractal interpolation function · Zipper · Positivity · Monotonicity | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0005 |
Abstract:
This paper analyzes the convergence and shape-preserving properties of two interpolants: zipper rational cubic splines (RCSs) and rational cubic spline zipper fractal interpolation functions (RCS ZFIFs). A zipper RCS uses cubic/quadratic rational functions with shape parameters and a binary signature vector, while an RCS ZFIF is derived from a zipper RCS through fractal perturbation with appropriate base and scaling functions. We derive sufficient conditions for shape-preserving properties such as positivity, monotonicity, and boundary containment. Theoretical results are validated using examples of shaped interpolation data.
Cite:
Vijay S.
, Chand A.K.B.
, Tetenov A.V.
Rational cubic spline zipper fractal functions and their shape aspects
Journal of Mathematical Sciences (United States). 2025. V.2025. DOI: 10.1007/s10958-025-07569-8 Scopus РИНЦ OpenAlex
Rational cubic spline zipper fractal functions and their shape aspects
Journal of Mathematical Sciences (United States). 2025. V.2025. DOI: 10.1007/s10958-025-07569-8 Scopus РИНЦ OpenAlex
Dates:
| Accepted: | Jan 9, 2025 |
| Published online: | Feb 10, 2025 |
Identifiers:
| Scopus: | 2-s2.0-85217523689 |
| Elibrary: | 81385645 |
| OpenAlex: | W4407290938 |
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