The Petty Projection Inequality for L sub( )pMixed Projection Bodies

The Petty Projection Inequality for L sub( )pMixed Projection Bodies

Recently, Lutwak, Yang and Zhang posed the notion of L sub( )pprojection body and established the L sub( )panalog of the Petty projection inequality. In this paper, the notion of L sub( )pmixed projection body is introduced-the L sub( )pprojection body being a special case. The Petty projection ineq...

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Veröffentlicht in:Acta mathematica Sinica. English series 2007-08, Vol.23 (8), p.1485-1494
Hauptverfasser: Wang, Wei Dong, Leng, Gang Song
Format: Artikel
Sprache:eng
Schlagworte:
Inequalities
Projection
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Beschreibung
Zusammenfassung:Recently, Lutwak, Yang and Zhang posed the notion of L sub( )pprojection body and established the L sub( )panalog of the Petty projection inequality. In this paper, the notion of L sub( )pmixed projection body is introduced-the L sub( )pprojection body being a special case. The Petty projection inequality, as well as Lutwak's quermassintegrals (L sub( )pmixed quermassintegrals) extension of the Petty projection inequality, is established for L sub( )pmixed projection body.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-005-0894-9