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

DOI10.1017/S1446788700036429zbMath1136.52007OpenAlexW2048934229MaRDI QIDQ5439910

Jun Yuan, Gang Song Leng

Publication date: 30 January 2008

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788700036429

zbMATH Keywords

matrix inequalitiesBrunn-Minkowski inequalitymetric additionsimplex inequality

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Miscellaneous inequalities involving matrices (15A45)

Related Items (5)

Reverse form of the Minkowski inequalities with applications ⋮ Generalizations of the Brunn-Minkowski inequality ⋮ More generalizations of Hartfiel's inequality and the Brunn-Minkowski inequality ⋮ Extensions of Brunn-Minkowski's inequality to multiple matrices ⋮ On some generalizations of the Brunn-Minkowski inequality

Cites Work

• Unnamed Item
• Note on bounds for certain determinants
• Capacitary inequalities of the Brunn-Minkowski type
• The Brunn-Minkowski inequality in Gauss space
• The Brunn-Minkowski inequality for volume differences
• Some results on the Bergstrom and Minkowski inequalities
• Brunn-Minkowski inequality for multiplicities
• A Brunn-Minkowski inequality for the integer lattice
• Bounds for Determinants with Positive Diagonals
• Matrix Analysis
• Extremal Characterizations of the Schur Complement and Resulting Inequalities
• The Brunn-Minkowski inequality
• Applications of an Inequality for the Schur Complement

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