Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 84104, 7 pages
doi:10.1155/2007/84104
Research Article

New Strengthened Carleman's Inequality and Hardy's Inequality

Haiping Liu and Ling Zhu

Department of Mathematics, Zhejiang Gongshang University, Hangzhou 310018, China

Received 26 July 2007; Accepted 9 November 2007

Academic Editor: Ram N. Mohapatra

Copyright © 2007 Haiping Liu and Ling Zhu. 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

In this note, new upper bounds for Carleman's inequality and Hardy's inequality are established.