Department of Applied Mathematics, Jiangsu Polytechnic University, Changzhou City 213164, Jiangsu Province, China
Copyright © 2009 Hongshun Ruan. 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.
We give a sufficient condition for the interchangeability
of the order of sum and -integral by using inequality technique. As
the application of the theorem, some interesting results on the hypergeometric
series are obtained.