Rotation means of projections

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Abstract

An inequality is obtained between the Quermassintegrals of a convex body and power means of the Quermassintegrals of projections of the body onto subspaces. This inequality is shown to be a strengthened form of the classical inequality between the Quermassintegrals of a convex body. It is used to derive inequalities for rotation means of products of lower dimensional Quermassintegrals of convex bodies, which generalize inequalities obtained by Chakerian, Heil, Knothe, Schneider, and others.

Original languageEnglish (US)
Pages (from-to)161-169
Number of pages9
JournalIsrael Journal of Mathematics
Volume58
Issue number2
DOIs
StatePublished - Jun 1 1987

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ASJC Scopus subject areas

  • Mathematics(all)

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