✦ LIBER ✦

Visual interpolation of data

✍ Scribed by M. Marano

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 793 KB
Volume: 14
Category: Article
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(01)80036-7

No coin nor oath required. For personal study only.

✦ Synopsis

Following a precise definition of shape-preserving interpolating functions to data, we construct in a new and elementary manner such a cubic spline Ss E C2, letting two additional knots per interval. We give an explicit description of S2, which has satisfactory properties in all the aspects, All the results in the paper--obtained with elementary calculus-are based on the behavior of the derivative of any smooth interpolating function to these data.

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