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• W2094497069 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≤i1<i2<⋯<ir≤n(∑j=1rxij)1r, where r∈{1,2,…,n} and i1,i2,…,in are positive integers. In this paper, we prove that Hn∗∗(x,r) is Schur concave, and Schur multiplicatively and harmonic convex in R+n. Some applications in inequalities and reliability theory are presented." @default.
• W2094497069 created "2016-06-24" @default.
• W2094497069 creator A5042856707 @default.
• W2094497069 creator A5058253157 @default.
• W2094497069 creator A5061407928 @default.
• W2094497069 date "2012-02-01" @default.
• W2094497069 modified "2023-10-16" @default.
• W2094497069 title "The Schur concavity, Schur multiplicative and harmonic convexities of the second dual form of the Hamy symmetric function with applications" @default.
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• W2094497069 doi "https://doi.org/10.1016/j.jmva.2011.08.004" @default.
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