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arXiv · 1603.02330

Interpolation of data by smooth non-negative functions

Charles Fefferman·Arie Israel·Garving K. Luli
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Abstract

We prove a finiteness principle for interpolation of data by nonnegative Cm functions. Our result raises the hope that one can start to understand constrained interpolation problems in which e.g. the interpolating function F is required to be nonnegative.

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Charles Fefferman, Arie Israel, Garving K. Luli. 2016-03-07. Interpolation of data by smooth non-negative functions. https://arxiv.org/abs/1603.02330

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