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A shape-preserving approximation by weighted cubic splines

โœ Scribed by Tae-wan Kim; Boris Kvasov


Book ID
116332379
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
468 KB
Volume
236
Category
Article
ISSN
0377-0427

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Univariate cubic L p interpolating splines, 1 p โˆž, defined by minimizing the L p norm of the second derivative over a finite-dimensional spline space, are introduced. Cubic L 2 splines, which coincide with conventional cubic splines, and cubic L โˆž splines do not preserve shape well. In contrast, cub