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Continuity of Convexity Preserving Functions

โœ Scribed by van de Vel, M.


Book ID
120095453
Publisher
Oxford University Press
Year
1984
Tongue
English
Weight
232 KB
Volume
s2-30
Category
Article
ISSN
0024-6107

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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