The Brunn-Minkowski Inequalities for Centroid Body

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DOI: 10.4236/apm.2013.31013    3,564 Downloads   5,285 Views  

ABSTRACT

In [1], the authors established the Brunn-Minkowski inequality for centroid body. In this paper, we give an isolate form and volume difference of it, respectively. Both of these results are strength versions of the original.

Cite this paper

J. Yuan and L. Zhao, "The Brunn-Minkowski Inequalities for Centroid Body," Advances in Pure Mathematics, Vol. 3 No. 1, 2013, pp. 105-108. doi: 10.4236/apm.2013.31013.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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[10] W. Fenchel and B. Jessen, “Mengenfunktionen und Konvexe K?rpern,” Danske Videnskabernes Selskab. Matematisk-Fysiske Meddelelser, Vol. 16, 1938, p. 3.
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[12] E. F. Beckenbach and R. Bellman, “Inequalities,” Springer, Berlin, 1961. doi:10.1007/978-3-642-64971-4

  
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