Low-degree spline quasi-interpolants in the Bernstein basis
Metadata
Show full item recordEditorial
Elsevier
Materia
Quasi-interpolation Bernstein basis Bézier ordinates
Date
2023-11-15Referencia bibliográfica
D. Barrera, S. Eddargani, M.J. Ibáñez, S. Remogna, Low-degree spline quasi-interpolants in the Bernstein basis, Applied Mathematics and Computation 457 (2023), https://doi.org/10.1016/j.amc.2023.128150
Abstract
In this paper we propose the construction of univariate low-degree quasi-interpolating splines in the Bernstein basis, considering C1 and C2 smoothness, specific polynomial reproduction properties and different sets of evaluation points. The splines are directly determined by setting their Bernstein–Bézier coefficients to appropriate combinations of the given data values. Moreover, we get quasi-interpolating splines with special properties, imposing particular requirements in case of free parameters. Finally, we provide numerical tests showing the performances of the proposed methods.