Interpolation of data by smooth non-negative functions

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.

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