Quasi-interpolation in shift invariant spaces

DOI10.1006/jmaa.2000.7051zbMath0981.41002OpenAlexW2071376846MaRDI QIDQ1589964

Hrushikesh N. Mhaskar, Joseph D. Ward, Francis J. Narcowich

Publication date: 13 March 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/34da50ad72083abde1c5803cd9176adfb3a06303

zbMATH Keywords

shift invariant spacesquasi-interpolatory operatorsquasi-linear operatorslocal functional based on scattered dataMarkov inequalities for polynomials

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Linear operator methods in interpolation, moment and extension problems (47A57) Interpolation in approximation theory (41A05)

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Cites Work

• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• A characterization of multivariate quasi-interpolation formulas and its applications
• Spline approximation by quasiinterpolants
• Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature
• Approximation from Shift-Invariant Subspaces of L 2 (ℝ d )
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