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- Title
Approximation of Bivariate Functions by Generalized Wendland Radial Basis Functions.
- Authors
Kouibia, Abdelouahed; González, Pedro; Pasadas, Miguel; Mustafa, Bassim; Yakhlef, Hossain Oulad; Omri, Loubna
- 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 R 2 , and a comparison with another work is analyzed.
- Subjects
SMOOTHNESS of functions; GENERALIZED spaces; INTERPOLATION
- Publication
Mathematics (2227-7390), 2024, Vol 12, Issue 16, p2597
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math12162597