Polynomial interpolation on the unit sphere and on the unit ball

DOI10.1023/A:1025851005416zbMath1047.41006OpenAlexW2290384717MaRDI QIDQ1424955

Yuan Xu

Publication date: 15 March 2004

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

Full work available at URL: https://doi.org/10.1023/a:1025851005416

zbMATH Keywords

unit ballinterpolation by polynomialsunit shere

Mathematics Subject Classification ID

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

Related Items (8)

Polynomial interpolation on the unit sphere. II ⋮ On a Hermite interpolation on the sphere ⋮ Optimal sampling patterns for Zernike polynomials ⋮ Polynomial interpolation in \(\mathbb R^2\) and on the unit sphere in \(\mathbb R^3\) ⋮ Radial orthogonality and Lebesgue constants on the disk ⋮ Superposition interpolation process in \(\mathbb C^n\) ⋮ Combining interpolation schemes and Lagrange interpolation on the unit sphere in \(\mathbb{R}^{N+1} \) ⋮ A numerical study of the xu polynomial interpolation formula in two variables

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