Skip to content


  • Research Article
  • Open Access

A reconsideration of Hua's inequality

  • 1Email author,
  • 2,
  • 3 and
  • 2
Journal of Inequalities and Applications20052005:150678

  • Received: 11 July 2004
  • Published:


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

Department of Mathematical Sciences, Faculty of Science, Shinshu University, Matsumoto 390-8621, Japan
Department of Basic Technology, Applied Mathematics and Physics, Yamagata University, Yonezawa 992-8510, Japan
College of Engineering, Kanto Gakuin University, Yokohama 236-8501, Japan


© Takagi et al. 2005