On some generalizations of the Brunn-Minkowski inequality

Yanpeng Zheng; Xiaoyu Jiang; Xiaoting Chen; Fawaz Alsaadi

doi:10.1016/j.laa.2019.10.022

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On some generalizations of the Brunn-Minkowski inequality

Journal article

Peer reviewed

On some generalizations of the Brunn-Minkowski inequality

Yanpeng Zheng, Xiaoyu Jiang, Xiaoting Chen and Fawaz Alsaadi

Linear algebra and its applications, Vol.586, pp.103-110

01/02/2020

DOI: https://doi.org/10.1016/j.laa.2019.10.022

Abstract

Determinant inequality

Numerical range

Schur complement

Sector

Recently, Liu (2016) [9] obtained some determinantal inequalities for sector matrices. In this paper, we make considerable improvement on Liu's results.

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Title: On some generalizations of the Brunn-Minkowski inequality
Creators - without role: Yanpeng Zheng - Linyi University
Xiaoyu Jiang - Linyi University
Xiaoting Chen - Qufu Normal University
Fawaz Alsaadi - King Abdulaziz University
Publication Details: Linear algebra and its applications, Vol.586, pp.103-110
Publisher: Elsevier Inc
Identifiers: 9937502408331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article