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  • 1
    Electronic Resource
    Electronic Resource
    Construction of lattices for lagrange interpolation in projective space (1991)
    Springer
    Constructive approximation 7 (1991), S. 283-297 
    Details
    ISSN: 1432-0940
    Keywords: 41A05 ; 41A10 ; 41A63 ; 51N15 ; Projectivek-space ; Lagrange interpolation ; Projective transformation ; de Casteljau-Neville-Aitken algorithm
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this article we construct a lattice of points which lie onk+1 pencils of hyperplanes in the projectivek-space, where, with a suitable choice of coordinate system, simple equations of the hyperplanes are obtained. This enables us to construct an interpolation formula on the projectivek-space from which interpolating polynomials on a general class of lattices in the Euclideank-space are obtained via a projective transformation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01888158
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