On a Mixed Arithmetic-Mean, Geometric-Mean, Harmonic-Mean Inequality
General Mathematics
2025-06-03 v2
Abstract
A mixed arithmetic-mean, geometric-mean inequality was conjectured by F. Holland and proved by K. Kedlaya. In this note, we prove a mixed arithmetic-mean, harmonic-mean inequality and a mixed geometric-mean, harmonic-mean, and a more extended inequality: a mixed arithmetic-mean, geometric-mean, harmonic-mean inequality.
Keywords
Cite
@article{arxiv.2401.10234,
title = {On a Mixed Arithmetic-Mean, Geometric-Mean, Harmonic-Mean Inequality},
author = {Kyumin Nam},
journal= {arXiv preprint arXiv:2401.10234},
year = {2025}
}
Comments
5 pages, Published with International Journal of Mathematics Trends and Technology (IJMTT), This version contains updates not present in the published version: removed unnecessary references, added more details, corrected errors