Low-degree spline quasi-interpolants in the Bernstein basis

Barrera Rosillo, Domingo; Eddargani, Salah; Ibáñez Pérez, María José; Remogna, Sara

doi:10.1016/j.amc.2023.128150

Artículo publicado (1.682Mb)

Identificadores

URI: https://hdl.handle.net/10481/87625

DOI: 10.1016/j.amc.2023.128150

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Editorial

Elsevier

Materia

Quasi-interpolation

Bernstein basis

Bézier ordinates

Fecha

2023-11-15

Referencia 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

Resumen

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.

Colecciones

DMA - Artículos