Notes on the Schur-convexity of the Extended Mean Values
Download
Download
DownloadExport
Qi, Feng, Sándor, József, Dragomir, Sever S and Sofo, Anthony (2002) Notes on the Schur-convexity of the Extended Mean Values. RGMIA research report collection, 5 (1).
Abstract
In this article, the Schur-convexities of the weighted arithmetic mean of function and the extended mean values are proved. Moreover, some inequalities involving the arithmetic mean, the harmonic mean, the logarithmic mean, and comparison between the extended mean values and the generalized weighted mean with two parameters and constant weight are obtained.
| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/17693 |
| Subjects | Historical > FOR Classification > 0102 Applied Mathematics Historical > FOR Classification > 0103 Numerical and Computational Mathematics Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA) |
| Keywords | extended mean values, Schur-convexity, inequality, generalized weighted mean values, weighted arithmetic mean of function |
| Download/View statistics | View download statistics for this item |
CORE (COnnecting REpositories)