Bonnesen-Style Isoperimetric Inequalities of an $n$-Simplex

Authors

  • Wen Wang School of Mathematics and Statistics, Hefei Normal University, Hefei, 230601
  • Yaping Chen International Branch of Nan Men Primary School at Shangcheng, Hefei, 231600
  • Shiguo Yang School of Mathematics and Statistics, Hefei Normal University, Hefei, 230601

DOI:

https://doi.org/10.13447/j.1674-5647.2017.01.03

Keywords:

simplex, isopermetric deficit, Bonnesen-style isoperimetric inequality

Abstract

In this paper, by the theory of geometric inequalities, some new Bonnesen-style isoperimetric inequalities of $n$-dimensional simplex are proved. In several cases, these inequalities imply characterizations of regular simplex.

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Published

2020-03-18

Issue

Vol. 33 No. 1 (2017)

Section

Articles