International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 3, Pages 475-481
doi:10.1155/IJMMS.2005.475
Note on weighted Carleman-type inequality
Chao-Ping Chen1
, Wing-Sum Cheung2
and Feng Qi1
1Department of Applied Mathematics and Informatics, Research Institute of Applied Mathematics, Henan Polytechnic University, Jiaozuo, Henan 454000, China
2Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong
Abstract
A double inequality involving the constant e is proved by using an inequality between the logarithmic mean and arithmetic mean. As an application, we generalize the weighted Carleman-type inequality.