English

Smoothing the Nonsmoothness

Econometrics 2023-09-29 v1

Abstract

To tackle difficulties for theoretical studies in situations involving nonsmooth functions, we propose a sequence of infinitely differentiable functions to approximate the nonsmooth function under consideration. A rate of approximation is established and an illustration of its application is then provided.

Cite

@article{arxiv.2309.16348,
  title  = {Smoothing the Nonsmoothness},
  author = {Chaohua Dong and Jiti Gao and Bin Peng and Yundong Tu},
  journal= {arXiv preprint arXiv:2309.16348},
  year   = {2023}
}
R2 v1 2026-06-28T12:34:48.989Z