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Schur-Convexity of Two Types of One-Parameter Mean Values in Variables

Journal of Inequalities and Applications volume 2007, Article number: 078175 (2007) Cite this article

Abstract

We establish Schur-convexities of two types of one-parameter mean values in variables. As applications, Schur-convexities of some well-known functions involving the complete elementary symmetric functions are obtained.

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Authors and Affiliations

  1. Huzhou Broadcast and TV University, Huzhou, Zhejiang, 313000, China

    Ning-Guo Zheng

  2. Zixing Educational Research Section, Chenzhou, Hunan, 423400, China

    Zhi-Hua Zhang

  3. Haining College, Zhejiang Broadcast and TV University, Haining, Zhejiang, 314400, China

    Xiao-Ming Zhang

Authors
  1. Ning-Guo Zheng
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  2. Zhi-Hua Zhang
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  3. Xiao-Ming Zhang
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Correspondence to Ning-Guo Zheng.

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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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Zheng, NG., Zhang, ZH. & Zhang, XM. Schur-Convexity of Two Types of One-Parameter Mean Values in Variables. J Inequal Appl 2007, 078175 (2007). https://doi.org/10.1155/2007/78175

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  • DOI: https://doi.org/10.1155/2007/78175

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