Shape-preserving properties of the local integro quartic spline

Yali Zhang; Yachao Wang; Yali Zhang; Yachao Wang

doi:10.3934/math.2026891

AIMS Mathematics

2026, Volume 11, Issue 7: 22034-22051. doi: 10.3934/math.2026891

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Research article

Shape-preserving properties of the local integro quartic spline

Yali Zhang ,
Yachao Wang ^,

School of Mathematics and Statistics, Yancheng Teachers University, Yancheng 224000, China

Received: 04 May 2026 Revised: 10 July 2026 Accepted: 16 July 2026 Published: 23 July 2026
MSC : 65D05, 65D07

The purpose of this paper is to systematically investigate the shape-preserving properties of the local integro quartic spline. It aims to derive and establish sufficient theoretical conditions to guarantee the convexity, monotonicity, and positivity of the approximation results. Furthermore, several representative numerical examples are provided to intuitively verify and demonstrate the excellent shape-preserving performance and practical applicability of the constructed spline.
- local integro quartic spline,
- shape-preserving,
- convexity,
- monotonicity,
- positive,
- approximation
Citation: Yali Zhang, Yachao Wang. Shape-preserving properties of the local integro quartic spline[J]. AIMS Mathematics, 2026, 11(7): 22034-22051. doi: 10.3934/math.2026891

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Abstract

The purpose of this paper is to systematically investigate the shape-preserving properties of the local integro quartic spline. It aims to derive and establish sufficient theoretical conditions to guarantee the convexity, monotonicity, and positivity of the approximation results. Furthermore, several representative numerical examples are provided to intuitively verify and demonstrate the excellent shape-preserving performance and practical applicability of the constructed spline.

References

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