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INEQUALITIES FOR MIXED INTERSECTION BODIES |
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Citation: |
YUAN Shufeng,LENG Gangsong.INEQUALITIES FOR MIXED INTERSECTION BODIES[J].Chinese Annals of Mathematics B,2005,26(3):423~436 |
Page view: 1274
Net amount: 883 |
Authors: |
YUAN Shufeng; LENG Gangsong |
Foundation: |
Project supported by the National Natural Science Foundation of China (No.10271071). |
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Abstract: |
In this paper, some properties of mixed intersection bodies are given, and inequalities from the dual Brunn-Minkowski theory (such as the dual Minkowski inequality, the dual Aleksandrov-Fenchel inequalities and the dual Brunn-Minkowski inequalities) are established for mixed intersection bodies. |
Keywords: |
Star body, Mixed intersection body, Dual mixed volume, Spherical radon transform |
Classification: |
52A40, 52A20 |
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