Open Access

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

Journal of Inequalities and Applications20092009:271923

DOI: 10.1155/2009/271923

Received: 26 May 2009

Accepted: 29 July 2009

Published: 30 August 2009

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.

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Authors’ Affiliations

(1)
Department of Mathematics, College of Science, Tianjin Polytechnic University
(2)
College of Information and Business, Zhongyuan University of Technology
(3)
School of Mathematics and Informatics, Henan Polytechnic University

Copyright

© Feng Qi et al. 2009

This article is published under license to BioMed Central Ltd. 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.