International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 16, Pages 995-1002

Ky Fan inequality and bounds for differences of means

Peng Gao

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

Received 23 July 2002

Copyright © 2003 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.


We prove an equivalent relation between Ky Fan-type inequalities and certain bounds for the differences of means. We also generalize a result of Alzer et al. (2001).