On a generalization of the Gasca–Maeztu conjecture

Abstract

Denote the space of all bivariate polynomials of total degree not exceeding n by Πn. The Gasca–Maeztu conjecture [Gasca M. and Maeztu J. I., On Lagrange and Hermite interpolation in R, Numer. Math. 39 (1982), 1–14.] states that any Πn-poised set of nodes, all fundamental polynomials of which are products of linear factors, possesses a maximal line, i.e., a… (More)

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