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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 489490, 6 pages
Research Article

Optimal Bounds for the Neuman-Sándor Mean in terms of the Convex Combination of the First and Second Seiffert Means

School of Mathematical Science, Anhui University, Hefei 230601, China

Received 15 June 2015; Accepted 21 July 2015

Academic Editor: Dapeng P. Du

Copyright © 2015 Hao-Chuan Cui 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.


We find the least value α and the greatest value β such that the double inequality holds for all with , where , and are the Neuman-Sándor mean and the first and second Seiffert means of two positive numbers and , respectively.