The Dual Orlicz-Brunn-Minkowski Theory

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Gardner, Richard J.; Hug, Daniel; Weil, Wolfgang; Ye, Deping;
  • Related identifiers: doi: 10.1016/j.jmaa.2015.05.016
  • Subject: 52A20, 52A30, 52A39, 52A40 | Mathematics - Metric Geometry | Mathematics - Differential Geometry
    arxiv: Mathematics::Metric Geometry | Mathematics::Classical Analysis and ODEs | Mathematics::Functional Analysis | Astrophysics::Earth and Planetary Astrophysics

This paper introduces the dual Orlicz-Brunn-Minkowski theory for star sets. A radial Orlicz addition of two or more star sets is proposed and a corresponding dual Orlicz-Brunn-Minkowski inequality is established. Based on a radial Orlicz linear combination of two star s... View more
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