Abstract
In this paper we present a complete description of ideal projectors from the space of bivariate polynomials \(\mathbb{F}[x,y]\) onto its subspace \(\mathbb{F }_{<n}[x,y]\) of polynomials of degree less than n. Several applications are given. In particular, we study small perturbations of ideal projectors as well as the limits of Lagrange projectors. The latter results verify one particular case of a conjecture of Carl de Boor.
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Communicated by Juan Manuel Peña.
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Shekhtman, B. Bivariate ideal projectors and their perturbations. Adv Comput Math 29, 207–228 (2008). https://doi.org/10.1007/s10444-007-9040-9
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DOI: https://doi.org/10.1007/s10444-007-9040-9