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Convergence of bivariate cardinal interpolation

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Publication:1084589
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DOI10.1007/BF01890030zbMath0606.41004MaRDI QIDQ1084589

Klaus Höllig, Carl De Boor, Sherman D. Riemenschneider

Publication date: 1985

Published in: Constructive Approximation (Search for Journal in Brave)


zbMATH Keywords

Fourier transformbivariate box splinebivariate cardinal spline interpolant


Mathematics Subject Classification ID

Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Spline approximation (41A15)


Related Items

Some qualitative properties of bivariate Euler-Frobenius polynomials ⋮ Algorithms for generating B-nets and graphically displaying spline surfaces on three- and four-directional meshes ⋮ Cardinal interpolation, submodules and the 4-direction mesh



Cites Work

  • B-splines from parallelepipeds
  • Bivariate box splines and smooth pp functions on a three direction mesh
  • Bivariate cardinal interpolation by splines on a three-direction mesh
  • Convergence of interpolating cardinal splines: power growth
  • Notes on spline functions. IV: A cardinal spline analogue of the theorem of the brothers Markov
  • Notes on spline functions. III: On the convergence of the inter polating cardinal splines as their degree tends to infinity
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