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arXiv · 2208.13308

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

Vadim Gorev·Egor Kosov
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Abstract

The paper studies possible functional analogs of classical problems 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.

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Vadim Gorev, Egor Kosov. 2022-08-28. Functional analogs of the Shephard, Busemann-Petty, and Milman problems. https://arxiv.org/abs/2208.13308

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