Toward the Analytic Resolution of the Variance-AM-GM Inequality: The Role of Taylor Expansion and Asymptotic Analysis
Abstract
This work provides the direct analytic proof and refinement of the Variance-AM-GM Inequality
Conjecture. The best possible universal constant is established as Cn = 1/2.
Keywords & Fields
Cite this work (BibTeX)
@article{deceuster2025_18-toward-the-analyt,
title = {Toward the Analytic Resolution of the Variance-AM-GM Inequality: The Role of Taylor Expansion and Asymptotic Analysis},
author = {De Ceuster, Peter},
year = {2025},
month = {10},
institution = {SIG Labs},
doi = {10.5281/zenodo.17345975},
url = {https://peterdeceuster.uk/papers/18-toward-the-analytic-resolution-of-the-variance-am},
note = {Full text available at https://peterdeceuster.uk/articenter/work/debate1.pdf}
}