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

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 |
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ID code: | 17731 |

Keywords: | divided differences, minimax error, truncated Chebyshev series, Chebyshev coefficient, Mathematics, Computational Mathematics, Analysis, Mathematics(all) |

Subjects: | Science > Mathematics |

Department: | Faculty of Engineering > Electronic and Electrical Engineering |

Depositing user: | Strathprints Administrator |

Date Deposited: | 12 May 2010 16:33 |

Last modified: | 21 May 2015 11:28 |

URI: | http://strathprints.strath.ac.uk/id/eprint/17731 |

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