Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 393025, 18 pages
Research Article

A New Hilbert-Type Linear Operator with a Composite Kernel and Its Applications

Department of Mathematics, Guangdong Institute of Education, Guangzhou, Guangdong 510303, China

Received 20 April 2010; Accepted 31 October 2010

Academic Editor: Ondřej Došlý

Copyright © 2010 Wuyi Zhong. 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.


A new Hilbert-type linear operator with a composite kernel function is built. As the applications, two new more accurate operator inequalities and their equivalent forms are deduced. The constant factors in these inequalities are proved to be the best possible.