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

Mingjin Wang1,2

 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

Recommended by Nikolaos S. Papageorgiou

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.