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VOLUME INEQUALITIES FOR Lp-JOHN ELLIPSOIDS AND THEIR DUALS*

Published online by Cambridge University Press:  01 September 2007

LU FENGHONG  and
LENG GANGSONG
LU FENGHONG
Affiliation:
Department of Mathematics, Shanghai University, Shanghai, 200444, P.R. China. e-mail: lulufh@163.com
LENG GANGSONG
Affiliation:
Department of Mathematics, Shanghai University, Shanghai, 200444, P.R. China. e-mail: lulufh@163.com
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Abstract

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In this paper, we establish some inequalities among the Lp-centroid body, the Lp-polar projection body, the Lp-John ellipsoid and its dual, which are the strengthened version of known results. We also prove inequalities among the polar of the Lp-centroid body, the Lp-polar projection body, the Lp-John ellipsoid and its dual.

Keywords

52A4052A20.
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 49 , Issue 3 , September 2007 , pp. 469 - 477
Copyright
Copyright © Glasgow Mathematical Journal Trust 2007

References

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