Short note on some geometric inequalities derived from matrix inequalities

IF 0.8 3区数学 Q2 MATHEMATICS

Positivity Pub Date : 2024-03-20 DOI:10.1007/s11117-024-01042-7

引用次数: 0

Abstract

Using the connection between ellipsoids and positive semidefinite matrices we provide alternative proofs to some recently proven inequalities concerning the volume of \(L_2\) zonoids as consequences of classical inequalities for matrices.

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关于从矩阵不等式推导出的一些几何不等式的简短说明

摘要利用椭球体和正半定矩阵之间的联系，我们为最近证明的一些关于 \(L_2\) zonoids 体积的不等式提供了替代证明，这些不等式是矩阵经典不等式的后果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Positivity 数学-数学

CiteScore

1.80

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： The purpose of Positivity is to provide an outlet for high quality original research in all areas of analysis and its applications to other disciplines having a clear and substantive link to the general theme of positivity. Specifically, articles that illustrate applications of positivity to other disciplines - including but not limited to - economics, engineering, life sciences, physics and statistical decision theory are welcome. The scope of Positivity is to publish original papers in all areas of mathematics and its applications that are influenced by positivity concepts.