3 papers
math.NA2025
On the usage of -node lines in -correct and sets
Hakop Hakopian, Gagik Vardanyan, Navasard Vardanyan
An -correct set in the plane is a set of nodes admitting unique interpolation with bivariate polynomials of total degree at most . A -node line is a line pas…
math.NA2025
On maximal curves of -correct sets
H. Hakopian, G. Vardanyan, N. Vardanyan
Suppose is an -correct set of nodes in the plane, that is, it admits a unisolvent interpolation with bivariate polynomials of total degree less than or equal to $n…
math.NA2021
A new proof of the Gasca-Maeztu conjecture for n = 5
G. K. Vardanyan
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…