On a Mixed Arithmetic-Mean, Geometric-Mean, Harmonic-Mean Inequality
arXiv:2401.10234 · doi:10.14445/22315373/IJMTT-V69I5P507
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.
arXiv comment5 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