Sharp bounds for Sandor-Yang means in terms of Lehmer means
Abstract
In the article, the authors prove that the double inequalities $L_{0} (a,b)0$ with $a\ne b$, where $L_{p} (a,b)=\left( {a^{p+1}+b^{p+1}}\right)/\left( {a^{p}+b^{p}} \right)$ is the $p$th Lehmer mean, and $S_{AQ} (a,b)$, $S_{QA} (a,b)$ are the S\'{a}ndor-Yang means, respectively.
- Published
- 5 December 2017
- Volume
- 2018 (2018)
- License
- CC BY 3.0
Copyright © 2017 Jun Li Wang, Hui Zuo Xu, Wei Mao Qian. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
J. L. Wang, H. Z. Xu, W. M. Qian, Sharp bounds for Sandor-Yang means in terms of Lehmer means, Adv. Inequal. Appl. 2018 (2018), 2.
BibTeX
@article{Wang2018,
author = {Wang, Jun Li and Xu, Hui Zuo and Qian, Wei Mao},
title = {Sharp bounds for Sandor-Yang means in terms of Lehmer means},
journal = {Adv. Inequal. Appl.},
volume = {2018},
year = {2018},
pages = {2},
doi = {}
}