The Orlicz Brunn-Minkowski Inequality for Dual Harmonic Quermassintegrals

The Orlicz Brunn-Minkowski Inequality for Dual Harmonic Quermassintegrals

Within the framework of Orlicz Brunn-Minkowski theory recently introduced by Lutwak, Yang, and Zhang [20, 21], Gardner, Hug, and Weil [5, 6] et al, the dual harmonic quermassintegrals of star bodies are studied, and a new Orlicz Brunn-Minkowski type inequality is proved for these geometric quantitie...

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Veröffentlicht in:Acta mathematica scientia 2019-07, Vol.39 (4), p.945-954
Hauptverfasser: Wu, Xiang, Li, Shougui
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Mathematics
Mathematics and Statistics
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Zusammenfassung:Within the framework of Orlicz Brunn-Minkowski theory recently introduced by Lutwak, Yang, and Zhang [20, 21], Gardner, Hug, and Weil [5, 6] et al, the dual harmonic quermassintegrals of star bodies are studied, and a new Orlicz Brunn-Minkowski type inequality is proved for these geometric quantities.
ISSN:0252-9602
1572-9087
DOI:10.1007/s10473-019-0403-3