Partition of unity and density: A counterexample

DOI10.1007/BF02678467zbMath0869.41007WikidataQ125023917 ScholiaQ125023917MaRDI QIDQ1357860

Rong-Qing Jia

Publication date: 16 June 1997

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

zbMATH Keywords

splinesdensityshift-invariant spacespartition of unity

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Spline approximation (41A15) Difference equations (39A99)

Related Items (2)

Generalized Strang-Fix condition for scattered data quasi-interpolation ⋮ Convergence of cascade algorithms associated with nonhomogeneous refinement equations

Cites Work

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• A characterization of the approximation order for multivariate spline spaces
• Partitions of Unity and Approximation
• A Characterization of the Approximation Order of Translation Invariant Spaces of Functions
• Solvability of Systems of Linear Operator Equations
• The Toeplitz Theorem and its Applications to Approximation Theory and Linear PDE's

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