Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 931275, 4 pages
doi:10.1155/2010/931275
Research Article

Sharpening the Becker-Stark Inequalities

Ling Zhu and Jiukun Hua

Department of Mathematics, Zhejiang Gongshang University, Hangzhou, Zhejiang 310018, China

Received 3 April 2009; Accepted 14 January 2010

Academic Editor: Sever Silvestru Dragomir

Copyright © 2010 Ling Zhu and Jiukun Hua. 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

In this paper, we establish a general refinement of the Becker-Stark inequalities by using the power series expansion of the tangent function via Bernoulli numbers and the property of a function involving Riemann's zeta one.