The Brunn-Minkowski inequality, Minkowski's first inequality and their duals

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9 Citazioni (Scopus)

Abstract

Quantitative versions are given of the equivalence of the Brunn-Minkowski inequality and Minkowski's first inequality from the Brunn-Minkowski theory. Similar quantitative versions are obtained of the equivalence of the corresponding inequalities from Lutwak's dual Brunn-Minkowski theory. The main results are shown to be the best possible up to constant factors.
Lingua originaleEnglish
pagine (da-a)502-512
Numero di pagine11
RivistaJournal of Mathematical Analysis and Applications
Stato di pubblicazionePubblicato - 2000

Keywords

  • Brunn-Minkowski inequality
  • Convex body
  • dual Brunn-Minkowski inequality
  • geometric tomography
  • star body

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