On the L sub( )pdual mixed volumes

On the L sub( )pdual mixed volumes

We establish the cyclic inequality for i-th L sub( )pdual mixed volume and L sub( )pdual Urysohn inequality between p-mean width and L sub( )pdual quermassintegral. Moreover, the dual isoperimetric inequality for L sub( )pdual mixed volume is proved, which is an extension of the classical dual isope...

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Veröffentlicht in:Acta mathematica Sinica. English series 2013-09, Vol.29 (9), p.1647-1654
Hauptverfasser: Chen, Lian Ying, Zhao, Chang Jian
Format: Artikel
Sprache:eng
Schlagworte:
Inequalities
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Zusammenfassung:We establish the cyclic inequality for i-th L sub( )pdual mixed volume and L sub( )pdual Urysohn inequality between p-mean width and L sub( )pdual quermassintegral. Moreover, the dual isoperimetric inequality for L sub( )pdual mixed volume is proved, which is an extension of the classical dual isoperimetric inequality.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-013-1182-8