Journal of Shanghai University(Natural Science Edition)

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Chord-Integrals of Star Bodies

LI Yu-hong,\UAN Jun,LENG Gang-song   

  1. School of Sciences, Shanghai University, Shanghai 200444, China
  • Received:1900-01-01 Revised:1900-01-01 Online:1900-01-01 Published:1900-01-01
  • Contact: LENG Gang-song

Abstract:

The i th chord-integrals of star bodies are introduced, and some inequalities and propositions for the chord-integrals of star bodies established. Asan application, the Brunn-Minkowski inequality for star duality of intersection bodies is obtained.

Key words: chord-integrals, dual quermass integrals, mixed intersection bodies, star duality

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star body

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