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http://sutir.sut.ac.th:8080/jspui/handle/123456789/589| Title: | GB-splines of arbitrary order |
| Authors: | Boris I. Kvasov Pairote Sattayatham |
| Keywords: | Spline;GB-spline;Weak Chebyshevian system;Variation diminishing;Shape-preserving approximation |
| Issue Date: | 1999 |
| Citation: | Journal of Computational and Applied Mathematics, Volume 104, Issue 1, 1999, Pages 63-88 |
| Abstract: | Explicit formulae and recurrence relations for the calculation of generalized B-splines (GB-splines) of arbitrary order are given. We derive main properties of GB-splines and their series, i.e. partition of unity, shape-preserving properties, invariance with respect to affine transformations, etc. It is shown that such splines have the variation diminishing property and are Chebyshevian splines. |
| URI: | http://sutir.sut.ac.th:8080/jspui/handle/123456789/589 |
| Appears in Collections: | บทความ (Articles) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| sdarticle_sattayatham6.pdf | Fulltext | 1.52 MB | Adobe PDF | View/Open |
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