Inscribed Triangles in the Unit Sphere and a New Class of Geometric Constants

被引：2
作者：
Chen, Bingren [1 ]
Liu, Qi [1 ]
Li, Yongjin [1 ]
机构：
[1] Sun Yat Sen Univ, Sch Math, Guangzhou 510275, Peoples R China
来源：
SYMMETRY-BASEL | 2022年 / 14卷 / 01期
关键词：
Banach spaces; geometric constants; uniformly non-square; JAMES;
D O I：
10.3390/sym14010072
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we firstly investigate the constant H(X) proposed by Gao further by discussing several properties of it that have not yet been discovered. Secondly, we focus on a new constant G(L)(X) closely related to H(X), along with a variety of geometric properties. In addition, we show several relations among it and the several basic geometric constants via a few inequalities. Finally, we manage to characterize the geometric properties of its generalized forms G(L)(X,p) and C-L(X) explicitly.
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页数：9
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