Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 135693, 8 pages
doi:10.1155/2009/135693
Research Article

An Interchangeable Theorem of q-Integral

Hongshun Ruan

Department of Applied Mathematics, Jiangsu Polytechnic University, Changzhou City 213164, Jiangsu Province, China

Received 25 August 2008; Accepted 3 January 2009

Academic Editor: Ondrej Dosly

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.

Abstract

We give a sufficient condition for the interchangeability of the order of sum and q-integral by using inequality technique. As the application of the theorem, some interesting results on the hypergeometric series are obtained.