Seminorm and full norm order of linear approximation from shift-invariant spaces

DOI10.1007/BF02925261zbMath0882.41025MaRDI QIDQ4340037

Kurt Jetter, Ding-Xuan Zhou

Publication date: 18 February 1998

Published in: Rendiconti del Seminario Matematico e Fisico di Milano (Search for Journal in Brave)

zbMATH Keywords

Fourier transformsimultaneous approximationshift invariant spaceapproximation ordernonstationary methods

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Multidimensional problems (41A63) Harmonic analysis in several variables (42B99) Rate of convergence, degree of approximation (41A25)

Related Items (2)

Sobolev spaces and approximation by affine spanning systems ⋮ Approximation orders of shift-invariant subspaces of \(W_{2}^{s}(\mathbb R^d)\)

Cites Work

• Unnamed Item
• Algorithms for cardinal interpolation using box splines and radial basis functions
• Approximation by multiinteger translates of functions having global support
• Simultaneous approximation from PSI spaces
• Order of linear approximation from shift-invariant spaces
• Approximation from Shift-Invariant Subspaces of L 2 (ℝ d )

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