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  • Research Article
  • Open Access

Convex sets and inequalities

  • 1Email author,
  • 2,
  • 3 and
  • 4
Journal of Inequalities and Applications20052005:964140

Received: 31 May 2002

Published: 1 June 2005


We consider a natural correspondence between a family of inequalities and a closed convex set. As an application, we give new types of power mean inequalities and the Hölder-type inequalities.

Authors’ Affiliations

Department of Basic Technology, Yamagata University, Yonezawa, Japan
Department of Systems Engineering, Okayama Prefectural University, Soja, Okayama, Japan
Department of Mathematics, Tokyo University of Science, Tokyo, Japan
Department of Mathematical Sciences, Faculty of Science, Shinshu University, Matsumoto, Japan


© Takahasi et al. 2005