Polynomial approximation errors for functions of low-order continuity
Elliott, D. and Taylor, P.J. (1991) Polynomial approximation errors for functions of low-order continuity. Constructive Approximation, 7 (1). pp. 381-387. ISSN 0176-4276 (http://dx.doi.org/10.1007/BF01888164)
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Given a function f defined on [-1, 1] we obtain, in terms of (n+1)st divided differences, expressions for the minimax error E n(f) and the error S n(f) obtained by truncating the Chebyshev series off after n+1 terms. The advantage of using divided differences is that f is required to have no more than a continuous second derivative on [-1, 1].
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Item type: Article ID code: 17731 Dates: DateEventDecember 1991PublishedSubjects: Science > Mathematics Department: Faculty of Engineering > Electronic and Electrical Engineering Depositing user: Strathprints Administrator Date deposited: 12 May 2010 16:33 Last modified: 11 Nov 2024 09:14 URI: https://strathprints.strath.ac.uk/id/eprint/17731
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