Skip to main content
Journal of Inequalities and Applications
Download PDF

Convex sets and inequalities

Journal of Inequalities and Applications volume 2005, Article number: 964140 (2005) Cite this article

Abstract

We consider a natural correspondence between a family of inequalities and a closed convex set. As an application, we give new types of power mean inequalities and the Hölder-type inequalities.

Author information

Authors and Affiliations

  1. Department of Basic Technology, Yamagata University, Yonezawa, 992-8510, Japan

    Sin-Ei Takahasi

  2. Department of Systems Engineering, Okayama Prefectural University, Soja, Okayama, 719-1197, Japan

    Yasuji Takahashi

  3. Department of Mathematics, Tokyo University of Science, Shinjuku-ku, Wakamiya 26, Tokyo, 162-8601, Japan

    Shizuo Miyajima

  4. Department of Mathematical Sciences, Faculty of Science, Shinshu University, Matsumoto, 390-8621, Japan

    Hiroyuki Takagi

Authors
  1. Sin-Ei Takahasi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yasuji Takahashi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Shizuo Miyajima
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Hiroyuki Takagi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Sin-Ei Takahasi.

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

Takahasi, SE., Takahashi, Y., Miyajima, S. et al. Convex sets and inequalities. J Inequal Appl 2005, 964140 (2005). https://doi.org/10.1155/JIA.2005.107

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1155/JIA.2005.107