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  • Research Article
  • Open Access

Convex sets and inequalities

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

https://doi.org/10.1155/JIA.2005.107

Received: 31 May 2002

Published: 1 June 2005

Abstract

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

(1)
Department of Basic Technology, Yamagata University, Yonezawa, Japan
(2)
Department of Systems Engineering, Okayama Prefectural University, Soja, Okayama, Japan
(3)
Department of Mathematics, Tokyo University of Science, Tokyo, Japan
(4)
Department of Mathematical Sciences, Faculty of Science, Shinshu University, Matsumoto, Japan

Copyright

© Takahasi et al. 2005

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