 Convex sets and inequalities Journal of Inequalities and Applications Full TextConvex sets and inequalitiesSin-Ei Takahasi1Email author, Yasuji Takahashi2, Shizuo Miyajima3 and Hiroyuki Takagi4Journal of Inequalities and Applications20052005:964140DOI: 10.1155JIA.2005.107 Takahasi et al. 2005Received: 31 May 2002Published: 1 June 2005Authors Affiliations1Department of Basic Technology, Yamagata University2Department of Systems Engineering, Okayama Prefectural University3Department of Mathematics, Tokyo University of Science4Department of Mathematical Sciences, Faculty of Science, Shinshu UniversityCopyright Takahasi et al. 2005 