Journal of Shanghai University(Natural Science Edition)

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Properties of Volume Ratios of Convex Bodies

YING Qi-zhi, LENG Gang-song   

  1. College of Sciences, Shanghai University, Shanghai 200444, China
  • Received:2007-05-11 Revised:1900-01-01 Online:2008-08-27 Published:2008-08-27
  • Contact: LENG Gang-song

Abstract: In this paper, relationship of volume ratios between a symmetric convex body and its sections and projections is shown. A Blaschke-Santaló type inequality on volume ratio is proved, and some asymptotic properties of volume ratios of cubeand simplex are observed.

Key words: asymptotic property, inequality, volume ratio, convex body

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