A trivariate near-best blending quadratic quasi-interpolant

D. Barrera, C. Dagnino, M.J. Ibáñez and S. Remogna

Mathematics and Computers in Simulation (MATCOM), 2020, vol. 176, issue C, 25-35

Abstract: In this paper, we construct a new trivariate spline quasi-interpolation operator. It is expressed as blending sum of univariate and bivariate C1 quadratic spline quasi-interpolants and it is of near-best type, i.e. it has a small infinity norm and the coefficients functionals defining it are determined by minimizing an upper bound of the operator infinity norm, derived from the Bernstein-Bézier coefficients of its Lebesgue function.

Keywords: B-spline; Box spline; Quasi-interpolation; Blending operator (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:176:y:2020:i:c:p:25-35

DOI: 10.1016/j.matcom.2019.10.005

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