Inscribed Triangles in the Unit Sphere and a New Class of Geometric Constants-Reference-Cited by-同舟云学术

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

Published:2022-01-04 Issue:1 Volume:14 Page:72
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Chen Bingren^ORCID,Liu Qi^ORCID,Li Yongjin^ORCID

Abstract

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.

Funder

National Natural Science Foundation of China

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/14/1/72/pdf

Reference12 articles.

1. Geometric Constants in Banach Spaces Related to the Inscribed Quadrilateral of Unit Balls

2. On James and Jordan–von Neumann constants and the normal structure coefficient of Banach spaces

3. On New Moduli Related to the Generalization of the Parallelogram Law

4. The von Neumann–Jordan and another constants in Radon planes

5. On James type constants and the normal structure in Banach spaces

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