An Information-Geometric Program for AM-GM Stability: Log-Sobolev Bounds and Variance Control
Abstract
This work proposes and develops an information-geometric program to establish a quantitative
stability bound for the Arithmetic Mean – Geometric Mean (AM-GM) inequality.
Keywords & Fields
Cite this work (BibTeX)
@article{deceuster2025_19-an-information-ge,
title = {An Information-Geometric Program for AM-GM Stability: Log-Sobolev Bounds and Variance Control},
author = {De Ceuster, Peter},
year = {2025},
month = {10},
institution = {SIG Labs},
doi = {10.5281/zenodo.17345993},
url = {https://peterdeceuster.uk/papers/19-an-information-geometric-program-for-am-gm-stability},
note = {Full text available at https://peterdeceuster.uk/articenter/work/debate2.pdf}
}