In this paper, we construct a new trivariate spline quasi-interpolation operator. It is expressed as blending sum of univariate and bivariate 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.

A trivariate near-best blending quadratic quasi-interpolant

Dagnino C.;Remogna S.
2020

Abstract

In this paper, we construct a new trivariate spline quasi-interpolation operator. It is expressed as blending sum of univariate and bivariate 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.
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B-spline; Blending operator; Box spline; Quasi-interpolation
Barrera D.; Dagnino C.; Ibanez M.J.; Remogna S.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2318/1719745
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