Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 471527, 6 pages
doi:10.1155/2008/471527
Research Article
Two Inequalities for rφr and Applications
1Department of Mathematics, East China Normal University, Shanghai 200062, China
2Department of Information Science, Jiangsu Polytechnic University, Jiangsu Province 213164, Changzhou, China
Received 26 August 2007; Accepted 13 November 2007
Academic Editor: Nikolaos S. Papageorgiou
Copyright © 2008 Mingjin Wang. 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 use the q-binomial
formula to establish two inequalities for the basic hypergeometric series rφr. As applications of the inequalities, we discuss the convergence of q-series.