Abstract
We generalize the result of Rodin (2017) to the case of weighted arithmetic and geometric means.
Citation
Leonid V. Rozovsky. "Variance and the weighted AM–GM inequality." Rocky Mountain J. Math. 51 (3) 1001 - 1005, June 2021. https://doi.org/10.1216/rmj.2021.51.1001
Information
Received: 3 April 2020; Revised: 12 November 2020; Accepted: 12 November 2020; Published: June 2021
First available in Project Euclid: 11 August 2021
Digital Object Identifier: 10.1216/rmj.2021.51.1001
Subjects:
Primary:
26D07
Secondary:
26D15
,
60A10
Keywords:
inequality
,
variance
,
weighted arithmetic mean
,
weighted geometric mean
Rights: Copyright © 2021 Rocky Mountain Mathematics Consortium
