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Research Article | Open Access

Shape-preserving properties of the local integro quartic spline

Yali Zhang, Yachao Wang( )
School of Mathematics and Statistics, Yancheng Teachers University, Yancheng 224000, China
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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.

Keywords

local integro quartic splineshape-preservingconvexitymonotonicitypositiveapproximation
CLC number: 65D05, 65D07

References

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AIMS Mathematics
Volume 11 Issue 7,
July 2026
Pages 22034-22051
DOI: 10.3934/math.2026891

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Cite this article:
Zhang Y, Wang Y. Shape-preserving properties of the local integro quartic spline. AIMS Mathematics, 2026, 11(7): 22034-22051. https://doi.org/10.3934/math.2026891

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Received: 04 May 2026
Revised: 10 July 2026
Accepted: 16 July 2026
Published: 15 July 2026
©2026 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)