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Journal of Inequalities and Applications
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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.

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Authors and 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
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  2. Takeshi Miura
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  3. Tadashi Kanzo
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  4. Sin-Ei Takahasi
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Correspondence to Hiroyuki Takagi.

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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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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

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  • DOI: https://doi.org/10.1155/JIA.2005.15