Interpolation of data by smooth nonnegative functions

Charles Fefferman; Arie Israel; Garving K. Luli

doi:10.4171/rmi/938

JournalsrmiVol. 33, No. 1pp. 305–324

Interpolation of data by smooth nonnegative functions

Charles Fefferman
Princeton University, USA
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Arie Israel
University of Texas at Austin, USA
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- zbMATH Open
Garving K. Luli
University of California at Davis, USA
- MathSciNet
- zbMATH Open

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Abstract

We prove a finiteness principle for interpolation of data by nonnegative $C^{m}$ and $C^{m - 1, 1}$ 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.

Cite this article

Charles Fefferman, Arie Israel, Garving K. Luli, Interpolation of data by smooth nonnegative functions. Rev. Mat. Iberoam. 33 (2017), no. 1, pp. 305–324

DOI 10.4171/RMI/938