International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 22, Pages 3551-3574
doi:10.1155/IJMMS.2005.3551

A new approach to Ky Fan-type inequalities

Peng Gao

Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA

Abstract

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.