English

Some Sharp Chernoff type inequalities

Differential Geometry 2023-11-30 v1

Abstract

Two sharp Chernoff type inequalities are obtained for star body in R2\mathbb{R}^2, one of which is an extension of the dual Chernoff-Ou-Pan inequality, and the other is the reverse Chernoff type inequality. Furthermore, we establish a generalized dual symmetric mixed Chernoff inequality for two planar star bodies. As a direct consequence, a new proof of the the dual symmetric mixed isoperimetric inequality is presented.

Keywords

Cite

@article{arxiv.2311.17512,
  title  = {Some Sharp Chernoff type inequalities},
  author = {Yuqi Zhou and Chunna Zeng},
  journal= {arXiv preprint arXiv:2311.17512},
  year   = {2023}
}
R2 v1 2026-06-28T13:35:12.350Z