A New Proof of the Gasca–Maeztu Conjecture for

An -correct node set is called set if the fundamental polynomial of each node is a product of linear factors. In 1982, Gasca and Maeztu conjectured that for every set there is a line passing through of its nodes. So far, this conjecture has been confirmed only for The case was first proved by Busch...

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Bibliographic Details
Published in:Journal of contemporary mathematical analysis 2022, Vol.57 (3), p.183-190
Main Author: Vardanyan, G.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Polynomials
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Summary:An -correct node set is called set if the fundamental polynomial of each node is a product of linear factors. In 1982, Gasca and Maeztu conjectured that for every set there is a line passing through of its nodes. So far, this conjecture has been confirmed only for The case was first proved by Busch [ 3 ]. Several other proofs have been published since then. For the case there is only one proof by Hakopian et al. [ 10 ]. Here, we give a second proof, which largely follows the first one but is much shorter and simpler.
ISSN:1068-3623
1934-9416
DOI:10.3103/S1068362322030074