The Schur concavity, Schur multiplicative and harmonic convexities of the second dual form of the Hamy symmetric function with applications

Yu-Ming Chu, Wei-Feng Xia and Xiao-Hui Zhang

Journal of Multivariate Analysis, 2012, vol. 105, issue 1, 412-421

Abstract: For x=(x1,x2,…,xn)∈R+n, the second dual form of the Hamy symmetric function is defined by Hn∗∗(x,r)=Hn∗∗(x1,x2,…,xn;r)=∏1≤i1Keywords: Hamy symmetric function; Second dual form; Schur concave; Schur multiplicatively convex; Schur harmonic convex (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1016/j.jmva.2011.08.004

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