International Journal of Mathematics and Mathematical Sciences
Volume 22 (1999), Issue 3, Pages 535-542

Generalizations of Hardy's integral inequalities

Yang Bicheng1 and Lokenath Debnath2

1Department of Mathematics, Guangdong Education College, Guangdong, Guangzhou 510303, China
2Department of Mathematics, University of Central Florida, Orlando 32816, Florida, USA

Received 25 January 1997; Revised 15 May 1997

Copyright © 1999 Yang Bicheng and Lokenath Debnath. 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.


This paper deals with some new generalizations of Hardy's integral inequalities. Some cases concerning whether the constant factors involved in these inequalities are best possible are discussed in some detail.