International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 19013, 15 pages
doi:10.1155/IJMMS/2006/19013

Some new generalizations of Hardy's integral inequality

S. K. Sunanda,1 C. Nahak,1 and S. Nanda1,2

1Department of Mathematics, Indian Institute of Technology, Kharagpur 721 302, Kharagpur, India
2North Orissa University, Baripada, Distt. Mayurbhanj 757003, Orissa, India

Received 5 March 2006; Revised 31 May 2006; Accepted 5 June 2006

Copyright © 2006 S. K. Sunanda 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 have studied some new generalizations of Hardy's integral inequality using the generalized Holder's inequality.