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The exercises from Chapter 5 of our main book refer to the following themes: linear combinations of convex bodies, volume of sums and differences of convex bodies, the Rogers-Shephard inequality, volume of intersections with translates, Steiner points, Santaló points, the covariogram, volume and diameter with the isodiametric inequality, mean width, contained cross-polytopes of maximal volume, Mahler’s and Urysohn’s inequality (also variants thereof), and Asplund products.

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Classical Inequalities

  • 章节

  • 发表日期：

    2025年

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  • Vitor Balestro,
  • Horst Martini,
  • Ralph Teixeira

摘要

The exercises from Chapter 5 of our main book refer to the following themes: linear combinations of convex bodies, volume of sums and differences of convex bodies, the Rogers-Shephard inequality, volume of intersections with translates, Steiner points, Santaló points, the covariogram, volume and diameter with the isodiametric inequality, mean width, contained cross-polytopes of maximal volume, Mahler’s and Urysohn’s inequality (also variants thereof), and Asplund products.