PAPER #48 Published: 2025-10-13 • Open Access Preprint

A Variance–AM–GM Inequality Conjecture: A Call to the Mathematical Community

Peter De Ceuster
SIG Labs
Abstract
This note proposes a new inequality linking the classical arithmetic and geometric means with the variance of positive real variables.
Keywords & Fields
mathematicsinequalitiesconjecture
Cite this work (BibTeX)
@article{deceuster2025_48-a-varianceamgm-in,
  title = {A Variance–AM–GM Inequality Conjecture: A Call to the Mathematical Community},
  author = {De Ceuster, Peter},
  year = {2025},
  month = {10},
  institution = {SIG Labs},
  doi = {10.5281/zenodo.17336190},
  url = {https://peterdeceuster.uk/papers/48-a-varianceamgm-inequality-conjecture-a-call-to-the},
  note = {Full text available at https://peterdeceuster.uk/articenter/work/problemstatement-unsolved.pdf}
}