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A condition of Schoenberg-Whitney type for multivariate spline interpolation

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Publication:1815865
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DOI10.1007/BF02124752zbMath0856.41002MaRDI QIDQ1815865

Hans Strauss, Manfred Sommer

Publication date: 3 March 1997

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


zbMATH Keywords

multivariate spline functions


Mathematics Subject Classification ID

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


Related Items

On almost interpolation ⋮ Optimal knots allocation in the cubic and bicubic spline interpolation problems ⋮ Interpolation by \(C^1\) splines of degree \(q\geq 4\) on triangulations ⋮ A local multivariate Lagrange interpolation method for constructing shape functions ⋮ Lagrange interpolation by bivariate splines on cross-cut partitions ⋮ Developments in bivarite spline interpolation



Cites Work

  • Interpolation by generalized splines
  • On almost interpolation
  • A class of weak Chebyshev spaces and characterization of best approximations
  • Bivariate spline interpolation at grid points
  • Interpolation by uni- and multivariate generalized splines
  • Data Dependent Triangulations for Piecewise Linear Interpolation
  • On Polya Frequency Function. III. The Positivity of Translation Determinants With an Application to the Interpolation Problem by Spline Curves
  • Unnamed Item
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