Rational cubic spline zipper fractal functions and their shape aspects | Sciact - Система учета научной деятельности ИМ СО РАН

Rational cubic spline zipper fractal functions and their shape aspects Научная публикация

Журнал

Journal of Mathematical Sciences (United States)
ISSN: 1072-3374 , E-ISSN: 1573-8795

Вых. Данные

Год: 2025, Том: 2025, DOI: 10.1007/s10958-025-07569-8

Ключевые слова

Rational cubic spline · Fractal interpolation function · Zipper · Positivity · Monotonicity

Авторы

Vijay S. ¹ , Chand A.K.B. ¹ , Tetenov A.V. ²

Организации

1	Department of Mathematics, Indian Institute of Technology Madras, Chennai 600036, Tamil Nadu, India
2	Sobolev Institute of Mathematics, Novosibirsk 630090, Russia

Информация о финансировании (1)

Институт математики им. С.Л. Соболева СО РАН

FWNF-2022-0005

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.

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

Принята к публикации:	9 янв. 2025 г.
Опубликована online:	10 февр. 2025 г.

Scopus:	2-s2.0-85217523689
РИНЦ:	81385645
OpenAlex:	W4407290938

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