Several Properties of the Radial pth Mean Bodies of Convex Bodies |
Received:April 19, 2004 |
Key Words:
the radial $p$th mean body convex body radial function.
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Author Name | Affiliation | YUAN Shu-feng | Shangyu College, Shaoxing University, Zhejiang 312300, China Inst. of Appl. Math. Mechanics, Shanghai University, Shanghai 200444, China | ZHANG Hai-juan | Inst. of Appl. Math. Mechanics, Shanghai University, Shanghai 200444, China | YUAN Jun | Dept. of Math., Shanghai University, Shanghai 200444, China |
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Abstract: |
This paper proves that the radial $p$th mean body is invariant under a general linear transformation and that the radial $p$th mean body of an ellipsoid is an ellipsoid. And corresponding to the Blaschke-Santal\'{o} inequality, a reverse inequality for the radial $p$th mean body is given. |
Citation: |
DOI:10.3770/j.issn:1000-341X.2006.03.029 |
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