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International Journal of Mathematics and Mathematical Sciences 
Volume 2003 (2003), Issue 16, Pages 995-1002
doi:10.1155/S0161171203207171

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

Abstract

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).