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].
Original language | English |
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Pages (from-to) | 381-387 |
Number of pages | 6 |
Journal | Constructive Approximation |
Volume | 7 |
Issue number | 1 |
DOIs | |
Publication status | Published - Dec 1991 |
Keywords
- divided differences
- minimax error
- truncated Chebyshev series
- Chebyshev coefficient