Journal of Applied Mathematics
Volume 2013 (2013), Article ID 273653, 5 pages
http://dx.doi.org/10.1155/2013/273653
Research Article

Optimal Lower Generalized Logarithmic Mean Bound for the Seiffert Mean

Ying-Qing Song,1 Wei-Mao Qian,2 Yun-Liang Jiang,3 and Yu-Ming Chu1

1School of Mathematics and Computation Sciences, Hunan City University, Yiyang, Hunan 413000, China
2School of Distance Education, Huzhou Broadcast and TV University, Huzhou, Zhejiang 313000, China
3School of Information & Engineering, Huzhou Teachers College, Huzhou, Zhejiang 313000, China

Received 23 December 2012; Accepted 26 February 2013

Academic Editor: Francisco J. Marcellán

Copyright © 2013 Ying-Qing Song et al. 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.

Abstract

We present the greatest value such that the inequality holds for all with , where and denote the Seiffert and th generalized logarithmic means of and , respectively.