Local C2-smooth spline quasi-interpolation methods

Barrera Rosillo, Domingo; Eddargani, S.; Ibáñez, M.J.; Remogna, S.

doi:10.1016/j.aml.2024.109346

1-s2.0-S0893965924003665-main.pdf (625.5Kb)

Identificadores

URI: https://hdl.handle.net/10481/97079

DOI: 10.1016/j.aml.2024.109346

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Editorial

Elsevier

Materia

Quasi-interpolation

Bernstein basis

BB-coefficients

Fecha

2024-11-05

Referencia bibliográfica

Barrera Rosillo, D. et. al. Applied Mathematics Letters 160 (2025) 109346. [https://doi.org/10.1016/j.aml.2024.109346]

Patrocinador

Group FQM 191Matemática Aplicadafunded by the PAIDI programmeof the Junta de Andalucía, Spain; INdAM Research group GNCS of Italy; MUR Excellence Department Project awarded to the Department of Mathematics,University of Rome Tor Vergata, CUP E83C23000330006

Resumen

In this paper we construct new univariate local C2 quasi-interpolating splines having specific polynomial reproduction properties. The splines are directly determined by setting their Bernstein-Bézier coefficients to appropriate combinations of the given data values. In certain cases we obtain a family of quasi-interpolating operators satisfying the required conditions, so we fix some extra properties (interpolation of the vertices, extra locality, extra polynomial reproduction) in order to compute unique approximants. We also provide numerical results confirming the theoretical ones

Colecciones

DMA - Artículos

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