Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 902432, 5 pages
doi:10.1155/2010/902432
Research Article

Proof of One Optimal Inequality for Generalized Logarithmic, Arithmetic, and Geometric Means

Ladislav Matejíčka

Faculty of Industrial Technologies in Púchov, Alexander Dubček University in Trenčín, I. Krasku 491/30, 02001 Púchov, Slovakia

Received 11 July 2010; Revised 19 October 2010; Accepted 31 October 2010

Academic Editor: Sin E. Takahasi

Copyright © 2010 Ladislav Matejíčka. 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

Two open problems were posed in the work of Long and Chu (2010). In this paper, we give the solutions of these problems.