Approximation of Bivariate Functions by Generalized Wendland Radial Basis Functions

Autor: Abdelouahed Kouibia, Pedro González, Miguel Pasadas, Bassim Mustafa, Hossain Oulad Yakhlef, Loubna Omri
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Mathematics, Vol 12, Iss 16, p 2597 (2024)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math12162597
Popis: In this work, we deal with two approximation problems in a finite-dimensional generalized Wendland space of compactly supported radial basis functions. Namely, we present an interpolation method and a smoothing variational method in this space. Next, the theory of the presented method is justified by proving the corresponding convergence result. Likewise, to illustrate this method, some graphical and numerical examples are presented in R2, and a comparison with another work is analyzed.
Databáze: Directory of Open Access Journals
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