Bulletin of the Australian Mathematical Society

Research Article

On the Ky Fan inequality and related inequalities II

Edward Neumana1 and József Sándora2

a1 Department of Mathematics, Southern Illinois University, Carbondale, IL 62901–4408, United States of America, e-mail: edneuman@math.siu.edu, urladdr: http://www.math.siu.edu/neuman/personal.html

a2 Department of Pure Mathematics, Babes-Bolyai University, Ro-3400 Cluj-Napoca, Romania, e-mail: jsandor@math.ubbcluj.ro

Ky Fan type inequalities for means of two or more variables are obtained. Refinements and improvements of known inequalities are derived. Applications to symmetric elliptic integrals of the first and second kind are also included.

(Received May 01 2005)