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

Journal of Inequalities and Applications volume 2008, Article number: 149286 (2008) Cite this article

Abstract

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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  1. Electric Grid Planning and Research Center, Zhejiang Electric Power Test and Research Institute, Hangzhou, 310014, China

    Zhen-Hang Yang

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  1. Zhen-Hang Yang
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Correspondence to Zhen-Hang Yang.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Yang, ZH. On the Monotonicity and Log-Convexity of a Four-Parameter Homogeneous Mean. J Inequal Appl 2008, 149286 (2008). https://doi.org/10.1155/2008/149286

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  • DOI: https://doi.org/10.1155/2008/149286

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