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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

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Abstract

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].

Item type: Article
ID code: 17731
Keywords: divided differences, minimax error, truncated Chebyshev series, Chebyshev coefficient, Mathematics
Subjects: Science > Mathematics
Department: Faculty of Engineering > Electronic and Electrical Engineering
Related URLs:
    Depositing user: Strathprints Administrator
    Date Deposited: 12 May 2010 17:33
    Last modified: 16 Jul 2013 23:43
    URI: http://strathprints.strath.ac.uk/id/eprint/17731

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