The Schur concavity, Schur multiplicative and harmonic convexities of the second dual form of the Hamy symmetric function with applications
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.
Year of publication: |
2012
|
---|---|
Authors: | Chu, Yu-Ming ; Xia, Wei-Feng ; Zhang, Xiao-Hui |
Published in: |
Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 105.2012, 1, p. 412-421
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Publisher: |
Elsevier |
Subject: | Hamy symmetric function | Second dual form | Schur concave | Schur multiplicatively convex | Schur harmonic convex |
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