INEQUALITIES OF THE QUERMASSINTEGRAL

INEQUALITIES OF THE QUERMASSINTEGRALS FOR THE L-p-PROJECTION BODY AND THE L-p-CENTROID BODY

Associated with the concepts of the L_p-mixed quermassintegrals,the L_p-mixed volume,and the L_p-dual mixed volume,we establish inequalities for the quermassintegrals of the L_p-projection body and the L_p-centroid body.Further,the general results for the Shephard problem of the L_p-projection body and the L_p-centroid body are obtained.

作 者： Wang Weidong Leng Gangsong   作者单位： Wang Weidong(Department of Mathematics, Hubei Institute for Nationalities, Enshi 445000, China)

Leng Gangsong(Department of Mathematics, Shanghai University, Shanghai 200436, China) 

刊 名： 数学物理学报（英文版）  ISTIC SCI 英文刊名： ACTA MATHEMATICA SCIENTIA  年，卷(期)： 2010 30(1)  分类号： O1  关键词： L_p-centroid body   L_p-projection body   L_p-mixed projection body   quer-massintegrals   shephard problem  

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