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Reverse Urysohn inequality for functions and functional Shephard problem
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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BibTeX
@misc{gorev2026reverse,
title = {{Reverse Urysohn inequality for functions and functional Shephard problem}},
author = {Vadim Gorev},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.23586},
eprint = {2610.23586},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.23586},
}
RIS
TY - UNPB
TI - Reverse Urysohn inequality for functions and functional Shephard problem
AU - Vadim Gorev
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2610.23586
UR - https://arxiv.org/abs/2610.23586
AB - 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.
ER -