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<p>The paper studies possible functional analogs of classical questions from convex geometry. In particular, we provide some bounds in the functional Shephard, Busemann–Petty and Milman problems generalizing known bounds in this problems for convex sets.</p>

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Functional analogs of the Shephard, Busemann–Petty and Milman problems

  • 期刊论文

  • 发表日期：

    2025年10月27日

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  • Vadim Gorev,
  • Egor Kosov

摘要

The paper studies possible functional analogs of classical questions from convex geometry. In particular, we provide some bounds in the functional Shephard, Busemann–Petty and Milman problems generalizing known bounds in this problems for convex sets.