INEQUALITIES OF THE QUERMASSINTEGRALS FOR THE L_p-PROJECTION BODY AND THE L_p-CENTROID BODY |
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| Authors: | Wang Weidong |
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| Institution: | [1]Department of Mathematics, China Three Gorges University, Yichang 443002, China [2]Department of Mathematics, Hubei Institute for Nationalities, Enshi 445000, China [3]Department of Mathematics, Shanghai University, Shanghai 200436, China |
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| 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. |
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| Keywords: | L_p-centroid body L_p-projection body L_p-mixed projection body quer-massintegrals shephard problem |
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