A counterexample to a result concerning controlled approximation
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- by Rong Qing Jia PDF
- Proc. Amer. Math. Soc. 97 (1986), 647-654 Request permission
Abstract:
A result of Strang and Fix states that if the order of controlled approximation from a collection of locally supported elements is $k$, then there is a linear combination $\Omega$ of those elements and their translates such that any polynomial of degree less than $k$ can be reproduced by $\Omega$ and its translates. This paper gives a counterexample to their result.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 97 (1986), 647-654
- MSC: Primary 41A15; Secondary 41A45
- DOI: https://doi.org/10.1090/S0002-9939-1986-0845982-1
- MathSciNet review: 845982