Inscribed Triangles in the Unit Sphere and a New Class of Geometric Constants
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 GL(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 GL(X,p) and CL(X) explicitly.
Keyword(s):
Keyword(s):
2020 ◽
Vol 1664
(1)
◽
pp. 012038
2020 ◽
pp. 155-165
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Keyword(s):
Keyword(s):
2019 ◽
Vol 11
(4)
◽
pp. 1-17