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- W2912163245 abstract "In this paper, we prove two improved versions of the Finiteness Principle for nonnegative $ C^2(mathbb{R}^2) $ interpolation, previously proven by Fefferman, Israel, and Luli. The first version sharpens the finiteness constant to $ 64 $, and the second version carries better computational practicality. Along the way, we also provide detailed construction of nonnegative $ C^2 $ interpolants in one-dimension, and prove the nonexistence of a bounded linear $ C^2 $-extension operator that preserves nonnegativity." @default.
- W2912163245 created "2019-02-21" @default.
- W2912163245 creator A5031042144 @default.
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- W2912163245 date "2019-01-28" @default.
- W2912163245 modified "2023-10-17" @default.
- W2912163245 title "Nonnegative $C^2(mathbb{R}^2)$ interpolation" @default.
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- W2912163245 doi "https://doi.org/10.48550/arxiv.1901.09876" @default.
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