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
Full text not available in this repository. (Request a copy from the Strathclyde author)Official URL: http://dx.doi.org/10.1007/BF01888164
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: | 20 Jan 2012 16:08 |
| URI: | http://strathprints.strath.ac.uk/id/eprint/17731 |
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