International Journal of Mathematics and Mathematical Sciences 
Volume 2003 (2003), Issue 16, Pages 981-993
doi:10.1155/S0161171203208103

On certain means of two arguments and their extensions

Edward Neuman1 and József Sándor2

 1Department of Mathematics, Southern Illinois University Carbondale, Carbondale 62901-4408, IL, USA
2Department of Pure Mathematics, Babes-Bolyai University, Cluj-Napoca 3400, Romania
Received 2 August 2002

Abstract

Inequalities for three means introduced by H.-J. Seiffert are obtained. Generalizations of these means, their basic properties, and inequalities satisfied by the new class of means are also included.