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.
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.