Title of article
GB-splines of arbitrary order
Author/Authors
Ksasov، نويسنده , , Boris I. and Sattayatham، نويسنده , , Pairote، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1999
Pages
26
From page
63
To page
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.
Keywords
spline , GB-spline , Weak Chebyshevian system , Shape-preserving approximation , Variation diminishing
Journal title
Journal of Computational and Applied Mathematics
Serial Year
1999
Journal title
Journal of Computational and Applied Mathematics
Record number
1549794
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