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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朱先阳, 冷岗松
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ZHU Xian-yang, LENG Gang-song
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Abstract: In this paper, by using the Brunn-Minkowski-Firey mixed volume theory and dual mixed volume theory, associated with Lp intersection body and dual mixed volume, some dual Brunn-Minkowski inequalities and their isolate forms are established for Lp intersection body about the normalized Lp radial addition and Lp radial linear combination. Some properties of operator Lp are given.
Key words: Lp intersection body, star body, property, Brunn-Minkowski inequality
中图分类号:
O184
52A40
52A20
朱先阳;冷岗松. On the Lp intersection body[J]. Applied Mathematics and Mechanics (English Edition), 2007, 28(12): 1669-1678 .
ZHU Xian-yang;LENG Gang-song. On the Lp intersection body[J]. Applied Mathematics and Mechanics (English Edition), 2007, 28(12): 1669-1678 .
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链接本文: https://www.amm.shu.edu.cn/CN/10.1007/s10483-007-1214-x
https://www.amm.shu.edu.cn/CN/Y2007/V28/I12/1669
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