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VOLUME INEQUALITIES FOR Lp-JOHN ELLIPSOIDS AND THEIR DUALS *
LU FENGHONG, LENG GANGSONG
Journal:

Glasgow Mathematical Journal / Volume 49 / Issue 3 / September 2007

Published online by Cambridge University Press:

01 September 2007, pp. 469-477

Print publication:

September 2007
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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.