Skip to main content
Journal of Inequalities and Applications
Journal of Inequalities and Applications Cover Image
Download PDF

A reconsideration of Hua's inequality

Journal of Inequalities and Applications volume 2005, Article number: 150678 (2005) Cite this article

Abstract

The inequality discovered by L. K. Hua in 1965 has been generalized in several directions. In this paper, we adopt a certain conjugate method to give a simple and fundamental inequality on two functions on a semigroup, which is the key to the proof of many generalizations of Hua's inequality.

Author information

Affiliations

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

    Hiroyuki Takagi

  2. Department of Basic Technology, Applied Mathematics and Physics, Yamagata University, Yonezawa, 992-8510, Japan

    Takeshi Miura & Sin-Ei Takahasi

  3. College of Engineering, Kanto Gakuin University, Yokohama, 236-8501, Japan

    Tadashi Kanzo

Authors
  1. Hiroyuki Takagi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Takeshi Miura
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Tadashi Kanzo
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Sin-Ei Takahasi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hiroyuki Takagi.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Takagi, H., Miura, T., Kanzo, T. et al. A reconsideration of Hua's inequality. J Inequal Appl 2005, 150678 (2005). https://doi.org/10.1155/JIA.2005.15

Download citation