Abstract and Applied Analysis
Volume 2013 (2013), Article ID 903982, 5 pages
http://dx.doi.org/10.1155/2013/903982
Research Article

Bounds for the Combinations of Neuman-Sándor, Arithmetic, and Second Seiffert Means in terms of Contraharmonic Mean

Zai-Yin He,1 Wei-Mao Qian,2 Yun-Liang Jiang,3 Ying-Qing Song,4 and Yu-Ming Chu4

1Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China
2School of Distance Education, Huzhou Broadcast and TV University, Huzhou 313000, China
3School of Information and Engineering, Huzhou Teachers College, Huzhou 313000, China
4School of Mathematics and Computation Science, Hunan City University, Yiyang 413000, China

Received 4 January 2013; Accepted 27 February 2013

Academic Editor: Salvatore A. Marano

Copyright © 2013 Zai-Yin He 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 give the greatest values , and the least values , in (1/2, 1) such that the double inequalities and hold for any and all with , where , , and are the arithmetic, Neuman-Sándor, contraharmonic, and second Seiffert means of and , respectively.