Refinements of Generalized Aczél's Inequality and Bellman's Inequality and Their Applications

Jing-Feng Tian and Shu-YanWang 1 College of Science and Technology, North China Electric Power University, Baoding, Hebei Province 071051, China 2Department of Mathematics and Computer, Baoding University, Baoding, Hebei Province 071000, China Correspondence should be addressed to Jing-Feng Tian; tianjfhxm [email protected] Received 13 October 2012; Accepted 30 December 2012 Academic Editor: Shanhe Wu Copyright © 2013 J.-F. Tian and S.-Y. Wang. 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 give some refinements of generalized Aczél’s inequality and Bellman’s inequality proposed by Tian. As applications, some refinements of integral type of generalized Aczél’s inequality and Bellman’s inequality are given.