Saturation theorems for interpolation and the Bernstein-Schnabl operator

DOI10.1090/S0025-5718-00-01173-XzbMath0978.41015MaRDI QIDQ2701560

Marek Beśka, Karol Dziedziul

Publication date: 19 February 2001

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

box splinesaturation theoremBernstein-Schnabl operator

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Spline approximation (41A15) Saturation in approximation theory (41A40)

Cites Work

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• B-splines from parallelepipeds
• Translates of multivariate splines
• Asymptotic expansion formula for Bernstein polynomials defined on a simplex
• Box splines
• Korovkin-type approximation theory and its applications
• Geometric aspects of convex sets with the Radon-Nikodym property
• Cardinal Interpolation by Multivariate Splines
• Box-splines orthogonal projections
• Multiresolution and approximation and Hardy spaces

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