Inscribed triangles in the unit sphere and a new class of geometric constants
Functional Analysis
2021-12-14 v1
Abstract
We will introduce a new geometric constant GL(X) based on the constant H(X) proposed by Gao. We first further survey the constant H(X) and discuss some of the properties of this constant that have not yet been discovered. Next, we focus on a new constant GL(X) along with some of its basic properties. In addition, we show some relations between the well-known geometric constants and GL(X) through some inequalities. Finally, we characterize some generalized forms of the constant GL(X).
Cite
@article{arxiv.2112.05922,
title = {Inscribed triangles in the unit sphere and a new class of geometric constants},
author = {Bingren Chen and Qi Liu and Yongjin Li},
journal= {arXiv preprint arXiv:2112.05922},
year = {2021}
}