Please use this identifier to cite or link to this item: 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
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