Asymptotic behavior of interpolation polynomials of harmonic functions based on Radon projections

DOI10.1007/s10092-017-0212-9zbMath1375.41001OpenAlexW2578269815MaRDI QIDQ1675430

Phung Van Manh

Publication date: 27 October 2017

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-017-0212-9

zbMATH Keywords

harmonic polynomialspolynomial interpolationRadon projections

Mathematics Subject Classification ID

Multidimensional problems (41A63) Interpolation in approximation theory (41A05)

Related Items (3)

Harmonic interpolation of Hermite type based on Radon projections in two directions ⋮ Polynomial interpolation of holomorphic functions based on Radon projections ⋮ Harmonic interpolation of Hermite type based on Radon projections with constant distances

Cites Work

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• New results on regularity and errors of harmonic interpolation using Radon projections
• The X-ray transform
• Optimal reconstruction of a function from its projections
• Schur functions: Theme and variations
• On the reconstruction of a function on a circular domain from a sampling of its line integrals
• Cubature rules for harmonic functions based on Radon projections
• Schur \(Q\)-polynomials, multiple hypergeometric series and enumeration of marked shifted tableaux
• Interpolation of harmonic functions based on Radon projections
• On bivariate Hermite interpolation and the limit of certain bivariate Lagrange projectors
• Interpolation by bivariate polynomials based on Radon projections
• On the continuity of multivariate Lagrange interpolation at natural lattices
• Reconstruction of a Polynomial from Its Radon Projections

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