Approximation of Bivariate Functions by Generalized Wendland Radial Basis Functions

Kouibia Krichi, Abdelouahed; González Rodelas, Pedro; Pasadas Fernández, Miguel; Mustafa, Bassim; Yakhlef, H. O.; Omri, Loubna

doi:10.3390/math12162597

mathematics-12-02597-v2.pdf (874.8Kb)

Identificadores

URI: https://hdl.handle.net/10481/94536

DOI: 10.3390/math12162597

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MDPI

Materia

65D05

65D07

65D10

Date

2024-08-22

Referencia bibliográfica

Kouibia, A.; González, P.; Pasadas, M.; Mustafa, B.; Yakhlef, H.O.; Omri, L. Approximation of Bivariate Functions by GeneralizedWendland Radial Basis Functions. Mathematics 2024, 12, 2597. https://doi.org/10.3390/math12162597

Sponsorship

FEDER/Junta de Andalucía-Consejería de Transformación Económica, Industria, Conocimiento y Universidades (Research Project A-FQM-76-UGR20, University of Granada); Junta de Andalucía (Research Group FQM191)

Abstract

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.

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