Hermite interpolation with symmetric polynomials

DOI10.1007/S11075-017-0278-0zbMath1386.65071OpenAlexW2586096767MaRDI QIDQ1681776

Van Manh Phung

Publication date: 24 November 2017

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-017-0278-0

zbMATH Keywords

Lagrange interpolationsymmetric polynomialsHermite interpolationpolynomial interpolationNewton interpolationmultipoint Berzolari-Radon set

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05)

Related Items (5)

Polynomial interpolation in \(\mathbb R^2\) and on the unit sphere in \(\mathbb R^3\) ⋮ Taylor type and Hermite type interpolants in \(\mathbb{R}^n \) ⋮ The role of Hilbert-Schmidt SVD basis in Hermite-Birkhoff interpolation in fractional sense ⋮ Hermite interpolation on algebraic curves in \(\mathbb{C}^2\) ⋮ Polynomial interpolation on the unit sphere and some properties of its integral means

Cites Work

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• Interpolation with symmetric polynomials
• Multipoint Taylor interpolation
• On Lagrange and Hermite interpolation in \(R^ k\).
• On certain configurations of points in \(\mathbb{R}{}^ n\) which are unisolvent for polynomial interpolation
• Continuity and convergence properties of integral means of Bojanov-Xu interpolation
• On bivariate Hermite interpolation and the limit of certain bivariate Lagrange projectors
• Taylorian points of an algebraic curve and bivariate Hermite interpolation
• The Formula of FAA Di Bruno
• On the continuity of multivariate Lagrange interpolation at natural lattices

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