On the convergence of Kergin and Hakopian interpolants at Leja sequences for the disk
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Publication:452850
DOI10.1007/s10474-012-0239-yzbMath1265.41005OpenAlexW2342222298MaRDI QIDQ452850
Publication date: 18 September 2012
Published in: Acta Mathematica Hungarica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10474-012-0239-y
Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Spaces of linear operators; topological tensor products; approximation properties (46A32)
Related Items (3)
The Newton product of polynomial projectors. II: Approximation properties ⋮ On polynomial interpolation of bivariate harmonic polynomials ⋮ The Newton product of polynomial projectors Part 1: Construction and algebraic properties
Cites Work
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- Pseudo Leja sequences
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- A constructive approach to Kergin interpolation in \(R^ k\): Multivariate B-splines and Lagrange interpolation
- Kergin interpolation of entire functions on \(C^ n\).
- Complex Kergin interpolation
- The distribution of extremal points for Kergin interpolations: real case
- On the convergence of Hakopian interpolation and cubature
- Complex mean-value interpolation and approximation of holomorphic functions
- Kergin interpolants of holomorphic functions
- Kergin interpolants at the roots of unity approximate \(C^2\) functions
- Lagrange interpolation at real projections of Leja sequences for the unit disk
- Weighted mean convergence of Hakopian interpolation on the disk
- Bounds on the derivatives of polynomials on Banach spaces
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