A width-diameter inequality for convex bodies

Erwin Lutwak

Research output: Contribution to journalArticlepeer-review


A special case of the Blaschke-Santaló inequality regarding the product of the volumes of polar reciprocal convex bodies is shown to be equivalent to a power-mean inequality involving the diameters and widths of a convex body. This power-mean inequality leads to strengthened versions of various known inequalities.

Original languageEnglish (US)
Pages (from-to)290-295
Number of pages6
JournalJournal of Mathematical Analysis and Applications
Issue number1
StatePublished - Apr 30 1983

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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