On the Lp intersection body

doi:10.1007/s10483-007-1214-x

Applied Mathematics and Mechanics (English Edition) ›› 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

ZHU Xian-yang, LENG Gang-song

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

Received:2006-11-30 Revised:2007-10-22 Online:2007-12-18 Published:2007-12-18
Contact: LENG Gang-song

Abstract

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

2010 MSC Number:

ZHU Xian-yang;LENG Gang-song. On the L_p intersection body. Applied Mathematics and Mechanics (English Edition), 2007, 28(12): 1669-1678 .

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On the L_p intersection body

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