@misc{10481/87621,
year = {2018},
month = {5},
url = {https://hdl.handle.net/10481/87621},
abstract = {A method to define trivariate spline quasi-interpolation operators (QIOs) is developed by blending univariate and bivariate operators whose linear functionals allow oversampling. In this paper, we construct new operators based on univariate B-splines and bivariate box splines, exact on appropriate spaces of polynomials and having small infinity norms. An upper bound of the infinity norm for a general blending trivariate spline QIO is derived from the Bernstein-Bézier coefficients of the fundamental functions associated with the operators involved in the construction. The minimization of the resulting upper bound is then proposed and the existence of a solution is proved. The quadratic and quartic cases are completely worked out and their exact solutions are explicitly calculated.},
publisher = {Springer New York LLC},
title = {Trivariate near-best blending spline quasi-interpolation operators},
doi = {10.1007/s11075-017-0373-2},
author = {Barrera Rosillo, Domingo and Dagnino, Catterina and Ibáñez Pérez, María José and Remogna, Sara},
}