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
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