Interpolation of data by smooth non-negative functions
Classical Analysis and ODEs
2016-03-09 v1 Numerical Analysis
Optimization and Control
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.
Keywords
Cite
@article{arxiv.1603.02330,
title = {Interpolation of data by smooth non-negative functions},
author = {Charles Fefferman and Arie Israel and Garving K. Luli},
journal= {arXiv preprint arXiv:1603.02330},
year = {2016}
}
Comments
This is the second part of the paper titled "Finiteness Principles for Smooth Selection" posted earlier arXiv:1511.04804 . The original paper has been split into two parts for purposes of publication