Journal of Shanghai University（Natural Science Edition） ›› 2009, Vol. 15 ›› Issue (1): 8-10.
• Mathematics.Physics and Chemistry • Previous Articles Next Articles
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Abstract:
Petty’s projection inequality and Busemann-Petty centroid inequality are the basic inequalities in the classical Brunn-Minkowshi theory. In the recent studies, Lutwak, Yang and Zhang generalized the above two inequalities into the circumstances of Lp Brunn-Minkowshi. The purpose of the present paper is to show equivalence of the Lp Petty projection inequality and the Lp Busemann-Petty centroid inequality.
Key words: Lp projection inequality; Lp centroid inquality; equivalence
CLC Number:
O 186.5
YU Zhi-gang，YUAN Jun，LENG Gang-song. Equivalence of Lp Projection Inequality and Lp Centroid Inequality[J]. Journal of Shanghai University（Natural Science Edition）, 2009, 15(1): 8-10.
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