TY - JOUR T1 - Bonnesen-Style Isoperimetric Inequalities of an $n$-Simplex AU - Wang , Wen AU - Chen , Yaping AU - Yang , Shiguo JO - Communications in Mathematical Research VL - 1 SP - 19 EP - 25 PY - 2019 DA - 2019/12 SN - 33 DO - http://doi.org/10.13447/j.1674-5647.2017.01.03 UR - https://global-sci.org/intro/article_detail/cmr/13442.html KW - simplex, isopermetric deficit, Bonnesen-style isoperimetric inequality AB -

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.