Copyright © 2010 Yu-Ming Chu and Bo-Yong Long. 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 answer the question: for with , what are the greatest value and the least value , such that the double inequality holds for all with ? Here , , , and denote the generalized logarithmic, arithmetic, geometric, and harmonic means of two positive numbers and , respectively.