Skip to main content

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

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.

Publisher note

To access the full article, please see PDF.

Author information

Affiliations

Authors

Corresponding author

Correspondence to Zhen-Hang Yang.

Rights and permissions

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.

Reprints and Permissions

About this article

Cite this article

Yang, Z. 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

Download citation

Keywords

  • Full Article
  • Publisher Note