Bivariate High-Accuracy Hermite-Type Multiquadric Quasi-Interpolation Operators

Ruifeng Wu

Journal of Mathematics, 2025, vol. 2025, 1-16

Abstract: In this paper, a kind of Hermite-type multiquadric quasi-interpolation operator is constructed by combining an extended univariate multiquadric quasi-interpolation operator with a bivariate Hermite interpolation polynomial. Some error bounds in terms of the modulus of continuity of high order and Peano representations for the error are given. Numerical comparisons with other existing methods are carried out to verify a higher degree of accuracy based on the obtained scheme. Furthermore, with an assumption on the suitable shape-preserving parameter c, several numerical tests show that the convergent order of the proposed operator is satisfactory.

Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2025/2321192.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2025/2321192.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:2321192

DOI: 10.1155/jom/2321192

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().