International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 22, Pages 3551-3574

A new approach to Ky Fan-type inequalities

Peng Gao1

1Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA
2American Institute of Mathematics, 360 Portage Avenue, Palo Alto, CA 94306-2244, USA

Received 12 May 2005; Revised 20 October 2005

Copyright © 2005 Peng Gao. 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.


The study of the behavior of means under equal increments of their variables provides a new approach to Ky Fan-type inequalities. Via this approach we are able to prove some new results on Ky Fan-type inequalities. We also prove some inequalities involving the symmetric means.