Interpolation of Cones and Shape-Preserving Approximation

@article{Kozlov2002InterpolationOC,
  title={Interpolation of Cones and Shape-Preserving Approximation},
  author={Inna Kozlov},
  journal={Journal of Approximation Theory},
  year={2002},
  volume={117},
  pages={23-41}
}
In this paper, we present an approach to shape-preserving approximation based on interpolation space theory. In particular, we prove the corresponding approximation result related to the intersection property of the cone of nonnegative functions with respect to the couple ðLp ;Ba;1 p Þ: # 2002 Elsevier Science (USA)