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 65D05 65D07 65D10 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. 2024-09-16T11:02:41Z 2024-09-16T11:02:41Z 2024-08-22 journal article 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 https://hdl.handle.net/10481/94536 10.3390/math12162597 eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional MDPI