J. Aust. Math. Soc. 83 (2007), no. 1, pp. 125–134.

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

Jun Yuan Gangsong Leng
School of Mathematics and Computer Science
Nanjing Normal University
Nanjing 210097
P.R. China
Department of Mathematics
Shanghai University
Shanghai 200444
P. R. China
Received 4 March 2005; revised 24 March 2006
Communicated by A. Rubinov
Supported in part by the National Natural Science Foundation of China (Grant No. 10671117).


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.

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2000 Mathematics Subject Classification: primary 52A40
(Metadata: XML, RSS, BibTeX) MathSciNet: MR2354??? Z'blatt-MATH: pre05231336
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