A width-diameter inequality for convex bodies

Research output: Contribution to journalArticle

Abstract

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
Volume93
Issue number1
DOIs
StatePublished - Apr 30 1983

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Fingerprint Dive into the research topics of 'A width-diameter inequality for convex bodies'. Together they form a unique fingerprint.

  • Cite this