A reconsideration of Hua's inequality

Hiroyuki Takagi; Takeshi Miura; Tadashi Kanzo; Sin-Ei Takahasi

doi:10.1155/JIA.2005.15

Research Article
Open Access

A reconsideration of Hua's inequality

Hiroyuki Takagi¹Email author,
Takeshi Miura²,
Tadashi Kanzo³ and
Sin-Ei Takahasi²

Journal of Inequalities and Applications20052005:150678

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

Received: 11 July 2004
Published: 1 February 2005

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.

Authors’ Affiliations

(1)

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

(2)

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

(3)

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

A reconsideration of Hua's inequality

Abstract

Authors’ Affiliations

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