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INEQUALITIES OF THE QUERMASSINTEGRALS FOR THE L_p-PROJECTION BODY AND THE L_p-CENTROID BODY

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【Author】 Wang Weidong Department of Mathematics,China Three Gorges University,Yichang 443002,China Department of Mathematics,Hubei Institute for Nationalities,Enshi 445000,China Leng Gangsong Department of Mathematics,Shanghai University,Shanghai 200436,China

【机构】 Department of Mathematics,China Three Gorges University； Department of Mathematics,Hubei Institute for Nationalities； Department of Mathematics,Shanghai University；

【摘要】 Associated with the concepts of the Lp-mixed quermassintegrals,the Lp-mixed volume,and the Lp-dual mixed volume,we establish inequalities for the quermassintegrals of the Lp-projection body and the Lp-centroid body.Further,the general results for the Shephard problem of the Lp-projection body and the Lp-centroid body are obtained.更多还原

【Abstract】 Associated with the concepts of the Lp-mixed quermassintegrals,the Lp-mixed volume,and the Lp-dual mixed volume,we establish inequalities for the quermassintegrals of the Lp-projection body and the Lp-centroid body.Further,the general results for the Shephard problem of the Lp-projection body and the Lp-centroid body are obtained.更多还原

【关键词】 Lp-centroid body； Lp-projection body； Lp-mixed projection body； quermassintegrals； shephard problem；
【Key words】 Lp-centroid body； Lp-projection body； Lp-mixed projection body； quermassintegrals； shephard problem；

【基金】 Sponsored by the Natural Science Foundation of China (10671117);Academic Mainstay Foundation of Hubei Province of China (D200729002);Science Foundation of China Three Gorges University

【文献出处】 Acta Mathematica Scientia ,数学物理学报(英文版) , 编辑部邮箱 ,2010年01期

【分类号】O186
【被引频次】3
【下载频次】77

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