Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 271923, 52 pages
doi:10.1155/2009/271923
Review Article

Refinements, Generalizations, and Applications of Jordan's Inequality and Related Problems

Feng Qi,1 Da-Wei Niu,2 and Bai-Ni Guo3

1Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin 300160, China
2College of Information and Business, Zhongyuan University of Technology, Zhengzhou, Henan 450007, China
3School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454010, China

Received 26 May 2009; Accepted 29 July 2009

Academic Editor: Wing-Sum Cheung

Copyright © 2009 Feng Qi et al. 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

This is a survey and expository article. Some new developments on refinements, generalizations, and applications of Jordan's inequality and related problems, including some results about Wilker-Anglesio's inequality, some estimates for three kinds of complete elliptic integrals, and several inequalities for the remainder of power series expansion of the exponential function, are summarized.