An asymptotic expansion for the error in a linear map that reproduces polynomials of a certain order |
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| Authors: | Carl de Boor |
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| Institution: | Department of Computer Sciences, University of Wisconsin-Madison, 1210 W. Dayton St., Madison WI 53706, USA |
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| Abstract: | Han's ‘multinode higher-order expansion’ in H] is shown to be a special case of an asymptotic error expansion available for any bounded linear map on C(a..b]) that reproduces polynomials of a certain order. The key is the formula for the divided difference at a sequence containing just two distinct points. |
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| Keywords: | Asymptotic error expansion Polynomial reproduction Divided difference |
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