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