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arXiv · 2610.23586

Reverse Urysohn inequality for functions and functional Shephard problem

Vadim Gorev
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Abstract

The results obtained in this paper provide a generalization of some geometric inequalities to the class of log-concave functions. They describe the relationships between the Quermassintegrals of functions and bodies, giving estimates for constants involved in functional Shephard-type problems.

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Vadim Gorev. 2026-10-16. Reverse Urysohn inequality for functions and functional Shephard problem. https://arxiv.org/abs/2610.23586

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