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

Bing-ren, Chen; Liu, Qi; Li, Yongjin

doi:10.3390/sym14010072

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2022

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Cited by 2 publications

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“…A constant G L (X) closely relevant to H(X), along with a variety of geometric properties and several relations among it and several basic geometric constants, has also been shown via a few inequalities. For more details about the aforementioned results, we recommend reference [4].…”

Section: Introductionmentioning

confidence: 99%

Some Geometric Constants Related to the Midline of Equilateral Triangles in Banach Spaces

et al. 2022

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We will introduce some new geometric constants based on the constant H(X) proposed by Gao and the constant A2(X) proposed by M. Baronti et al. We first provide a study of a new constant M1(X) closely related to the midlines of equilateral triangles, including a discussion of some of its properties and the connections with other parameters of the sphere. Next, we focus on a new constant M2(X) and its generalized form M2(X,p,q), along with some of their basic properties. Finally, we concentrate on a new constant M3(X) and discuss some of its properties.

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Section: Introductionmentioning

confidence: 99%