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Physical Sciences and Engineering Mathematics Analysis

An asymptotic expansion for the error in a linear map that reproduces polynomials of a certain order

Article ID Journal Published Year Pages File Type
9500702 Journal of Approximation Theory 2005 4 Pages PDF
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.
Keywords
Divided differencePolynomial reproductionAsymptotic error expansion
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
An asymptotic expansion for the error in a linear map that reproduces polynomials of a certain order
Authors
Carl de Boor,
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Journal
Journal of Approximation Theory
Journal: Journal of Approximation Theory
Related Categories
Divided difference
Polynomial reproduction
Asymptotic error expansion
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