VOLUME INEQUALITIES FOR Lp-JOHN ELLIPSOIDS AND THEIR DUALS*
VOLUME INEQUALITIES FOR Lp-JOHN ELLIPSOIDS AND THEIR DUALS*
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DOI：
10.1017/s0017089507003862
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发表时间：
2007-09
影响因子：
0.5
通讯作者：
Lu Feng-hong;Leng Gang-song
中科院分区：
文献类型：
--
作者：
Lu Feng-hong;Leng Gang-song
本文建立了Lp-质心体、Lp-极投影体、Lp-John椭球体及其对偶之间的一些不等式，它们是已有结果的加强形式。我们还证明了Lp-质心体、Lp-极投影体、Lp-John椭球及其对偶的极之间的不等式。
Abstract 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.