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

Open Access
Research Article


A four-parameter homogeneous mean Open image in new window 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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© 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.

Authors and Affiliations

  1. 1.Electric Grid Planning and Research CenterZhejiang Electric Power Test and Research InstituteHangzhouChina

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