Year: 2026
Type: preprint
Abstract: We present proofs of Szarek's moment comparison and Ball's cube slicing inequalities based on elementary convexity and majorisation. The key ingredient is a moment-lifting argument which allows us to use Schur monotonicity, avoiding the integral inequalities used in the original Fourier-analytic approaches.
Source: arXiv (Cornell University)
Authors: Tang, Colin, Tkocz, Tomasz
Institution: Carnegie Mellon University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223131370