Interpolation systems in \(R^ k\)

DOI10.1016/0021-9045(84)90054-6zbMath0552.41001OpenAlexW2036130574MaRDI QIDQ801489

N. E. Zubov

Publication date: 1984

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(84)90054-6

zbMATH Keywords

multivariate interpolationgeometrical methodNewton interpolation formulaeinterpolating space

Mathematics Subject Classification ID

Numerical interpolation (65D05) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Interpolation in approximation theory (41A05)

Related Items

On multivariate interpolation by generalized polynomials on subsets of grids, The work of Mariano Gasca, Interpolation with symmetric polynomials, Bivariate Hermite-Birkhoff interpolation and Vandermonde determinants, Lattices and algorithms for bivariate Bernstein, Lagrange, Newton, and other related polynomial bases based on duality between \(L\)-bases and \(B\)-bases, Bivariate Hermite-Birkhoff polynomial interpolation with asymptotic conditions, Construction of lattices for Lagrange interpolation in projective space

Cites Work

• Unnamed Item
• Remarks on Newton type multivariate interpolation for subsets of grids
• On Lagrange and Hermite interpolation in \(R^ k\).
• A general recurrence interpolation formula and its applications to multivariate interpolation
• General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods
• Divided differences for functions of two variables for irregularly spaces arguments
• Some observations on interpolation in higher dimensions