Acta mathematica scientia, Series B >
INEQUALITIES OF THE QUERMASSINTEGRALS FOR THE Lp-PROJECTION BODY AND THE Lp-CENTROID BODY
Received date: 2005-12-29
Revised date: 2008-10-20
Online published: 2010-01-20
Supported by
Sponsored by the Natural Science Foundation of China (10671117), Academic Mainstay Foundation of Hubei Province of China (D200729002) and Science Foundation of China Three Gorges University.
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.
WANG Wei-Dong , LENG Gang-Song . INEQUALITIES OF THE QUERMASSINTEGRALS FOR THE Lp-PROJECTION BODY AND THE Lp-CENTROID BODY[J]. Acta mathematica scientia, Series B, 2010 , 30(1) : 359 -368 . DOI: 10.1016/S0252-9602(10)60052-5
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