On the <em>L<sub>p</sub></em> Intersection Body

ZHU Xian-yang; LENG Gang-song

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ZHU Xian-yang, LENG Gang-song. On the Lp Intersection Body[J]. Applied Mathematics and Mechanics, 2007, 28(12): 1493-1501.

Citation:

ZHU Xian-yang, LENG Gang-song. On the L_p Intersection Body[J]. Applied Mathematics and Mechanics, 2007, 28(12): 1493-1501.

ZHU Xian-yang, LENG Gang-song. On the Lp Intersection Body[J]. Applied Mathematics and Mechanics, 2007, 28(12): 1493-1501.

Citation:

ZHU Xian-yang, LENG Gang-song. On the L_p Intersection Body[J]. Applied Mathematics and Mechanics, 2007, 28(12): 1493-1501.

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On the L_p Intersection Body

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

Received Date: 2006-11-07
Rev Recd Date: 2007-11-16
Publish Date: 2007-12-15

Abstract

Abstract

By using 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 I_p are given.
- star body,
- L_p intersection body,
- property,
- Brunn-Minkowski inequality

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References(14)

References

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