A natural formulation of quasi-interpolation by multivariate splines
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- by Charles K. Chui and Harvey Diamond PDF
- Proc. Amer. Math. Soc. 99 (1987), 643-646 Request permission
Abstract:
A quasi-interpolation formula based on discrete function values is given in the form of a multivariate spline series that yields the local approximation order characterized by the Fix-Strang conditions. This formula can be considered as a partial sum of the formal Neumann series expansion of the formal interpolation operator, and hence, justifies that "quasi-interpolation" is indeed an appropriate terminology for such an approximation formula.References
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 99 (1987), 643-646
- MSC: Primary 41A15; Secondary 41A65
- DOI: https://doi.org/10.1090/S0002-9939-1987-0877032-6
- MathSciNet review: 877032