On the <em>L<sub>p</sub></em> intersection body

ZHU Xian-yang;LENG Gang-song

doi:10.1007/s10483-007-1214-x

Applied Mathematics and Mechanics >

2007 , Vol. 28 >Issue 12: 1669 - 1678

DOI: https://doi.org/10.1007/s10483-007-1214-x

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On the L_p intersection body

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Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China

Received date: 2006-11-30

Revised date: 2007-10-22

Online published: 2007-12-18

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Abstract

In this paper, by using the Brunn-Minkowski-Firey mixed volume theory and dual mixed volume theory, associated with L_p intersection body and dual mixed volume, some dual Brunn-Minkowski inequalities and their isolate
forms are established for L_p intersection body about the normalized L_p radial addition and L_p radial linear combination. Some properties of operator L_p are given.

Key words： L_p intersection body; star body; property; Brunn-Minkowski inequality

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ZHU Xian-yang;LENG Gang-song . On the L_p intersection body[J]. Applied Mathematics and Mechanics, 2007 , 28(12) : 1669 -1678 . DOI: 10.1007/s10483-007-1214-x

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