Open Access

On the Monotonicity and Log-Convexity of a Four-Parameter Homogeneous Mean

Journal of Inequalities and Applications20082008:149286

Received: 13 April 2008

Accepted: 29 July 2008

Published: 6 August 2008


A four-parameter homogeneous mean is defined by another approach. The criterion of its monotonicity and logarithmically convexity is presented, and three refined chains of inequalities for two-parameter mean values are deduced which contain many new and classical inequalities for means.

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Authors’ Affiliations

Electric Grid Planning and Research Center, Zhejiang Electric Power Test and Research Institute, Hangzhou, China


© Zhen-Hang Yang. 2008

This article is published under license to BioMed Central Ltd. 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.