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A generalization of the matrix form of the Brunn-Minkowski inequality

Part of: General convexity

Published online by Cambridge University Press:  09 April 2009

Jun Yuan  and
Gangsong Lenga
Jun Yuan
Affiliation:
School of Mathematics and Computer ScienceNanjing Normal UniversityNanjing 210097 P.R.Chinayuanjun@graduate.shu.edu.cn
Gangsong Lenga
Affiliation:
Department of MathematicsShanghai UniversityShanghai 200444 P. R.Chinagleng@staff.shu.edu.cn
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Abstract

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In this paper, we establish an extension of the matrix form of the Brunn-Minkowski inequality. As applications, we give generalizations on the metric addition inequality of Alexander.

2000 Mathematics subject classification: primary 52A40.

Keywords

Brunn-Minkowski inequalitymetric addition inequalityKy Fan inequalityBellman's inequalitymatrixsimplex

MSC classification

Secondary: 52A40: Inequalities and extremum problems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 83 , Issue 1 , August 2007 , pp. 125 - 134
Copyright
Copyright © Australian Mathematical Society 2007

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