The Brunn-Minkowski-Firey inequality for nonconvex sets

Research output: Contribution to journalArticle

Abstract

The definition of Minkowski-Firey Lp-combinations is extended from convex bodies to arbitrary subsets of Euclidean space. The Brunn-Minkowski-Firey inequality (along with its equality conditions), previously established only for convex bodies, is shown to hold for compact sets.

Original languageEnglish (US)
Pages (from-to)407-413
Number of pages7
JournalAdvances in Applied Mathematics
Volume48
Issue number2
DOIs
StatePublished - Feb 2012

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Brunn-Minkowski Inequality
Convex Body
Compact Set
Euclidean space
Equality
Subset
Arbitrary

Keywords

  • Brunn-Minkowski inequality
  • Brunn-Minkowski-Firey inequality
  • Minkowski combinations
  • Minkowski-Firey L -combinations

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

The Brunn-Minkowski-Firey inequality for nonconvex sets. / Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong.

In: Advances in Applied Mathematics, Vol. 48, No. 2, 02.2012, p. 407-413.

Research output: Contribution to journalArticle

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