On a correction of a property of \(GC_{n}\) sets

DOI10.1007/s10444-018-9618-4zbMath1414.41002arXiv1712.06155OpenAlexW2963886321MaRDI QIDQ2631988

Vahagn Vardanyan, Hakop A. Hakopian

Publication date: 16 May 2019

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.06155

zbMATH Keywords

polynomial interpolationGasca-Maeztu conjecturemaximal linefundamental polynomial\(n\)-independent set\(n\)-poised set\(GC_n\) set

Mathematics Subject Classification ID

Multidimensional problems (41A63) Interpolation in approximation theory (41A05)

Related Items (4)

ON $n$-NODE LINES IN $GC_n$ SETS ⋮ Mini-workshop: Interpolation, approximation, and algebra. Abstracts from the mini-workshop held February 13--19, 2022 ⋮ On the basic properties of GCn sets ⋮ On the usage of lines in \(GC_n\) sets

Cites Work

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• On the uniqueness of algebraic curves passing through \(n\)-independent nodes
• The Gasca-Maeztu conjecture for \(n=5\)
• Geometric characterization and generalized principal lattices
• A new proof of the Gasca-Maeztu conjecture for \(n=4\)
• On Lagrange and Hermite interpolation in \(R^ k\).
• On a generalization of the Gasca-Maeztu conjecture
• On a new property of \(n\)-poised and \(GC_n\) sets
• Multivariate polynomial interpolation: conjectures concerning GC-sets
• On Lattices Admitting Unique Lagrange Interpolations
• Cayley-Bacharach theorems and conjectures

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