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arXiv:1901.09876 [math.CA]AbstractReferencesReviewsResources

Nonnegative $C^2(\mathbb{R}^2)$ interpolation

Fushuai Jiang, Garving K. Luli

Published 2019-01-28Version 1

We give an alternative proof of the finiteness principle for interpolation of data by nonnegative $C^2(\mathbb{R}^2)$ functions. We show that $k^\# = 17$ is sufficient as a finiteness constant, which substantially improves the one given in \cite{FIL16, FIL16-2}. Moreover, we give an explicit construction for nonnegative $C^2(\mathbb{R}^2)$ interpolants.

Comments: 21 pages
Categories: math.CA, math.NA, math.OC
Subjects: 65D05, 41A05
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