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C 1 Convexity-Preserving Interpolation of Scattered Data

✍ Scribed by Leung, N. K.; Renka, R. J.


Book ID
118188933
Publisher
Society for Industrial and Applied Mathematics
Year
1999
Tongue
English
Weight
412 KB
Volume
20
Category
Article
ISSN
1064-8275

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This paper is concerned with the problem of strict convexity preserving interpolation in one variable. It is shown that a strictly convex Hermite interpolant to strictly convex data can always be chosen smooth and even to be a polynomial. Furthermore, two-point Hermite strict convexity preserving in