Functional analogs of the Shephard, Busemann-Petty, and Milman problems
Functional Analysis
2022-08-30 v1
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.
Keywords
Cite
@article{arxiv.2208.13308,
title = {Functional analogs of the Shephard, Busemann-Petty, and Milman problems},
author = {Vadim Gorev and Egor Kosov},
journal= {arXiv preprint arXiv:2208.13308},
year = {2022}
}