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A reconsideration of Hua's inequality


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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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 ( ), 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).

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