Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 137301, 7 pages
doi:10.1155/2009/137301
Research Article

On Pečarić-Rajić-Dragomir-Type Inequalities in Normed Linear Spaces

Zhao Changjian,1 Chur-Jen Chen,2 and Wing-Sum Cheung3

1Department of Information and Mathematics Sciences, College of Science, China Jiliang University, Hangzhou 310018, China
2Department of Mathematics, Tunghai University, Taichung 40704, Taiwan
3Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong

Received 27 April 2009; Accepted 18 November 2009

Academic Editor: Sever Silvestru Dragomir

Copyright © 2009 Zhao Changjian 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 establish some generalizations of the recent Pečarić-Rajić-Dragomir-type inequalities by providing upper and lower bounds for the norm of a linear combination of elements in a normed linear space. Our results provide new estimates on inequalities of this type.