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| Schur Convexity for Two Classes of Symmetric Functionsand Their Applications |
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Citation： |
Mingbao SUN,Nanbo CHEN,Songhua LI,Yinghui ZHANG.Schur Convexity for Two Classes of Symmetric Functionsand Their Applications[J].Chinese Annals of Mathematics B,2014,35(6):969~990 |
| Page view： 1277
Net amount： 1077 |
Authors： |
Mingbao SUN; Nanbo CHEN; Songhua LI; Yinghui ZHANG; |
Foundation： |
the National Natural Science Foundation of China (Nos. 11271118,
10871061, 11301172), the Nature Science Foundation of Hunan Province (No. 12JJ3002), the Scientific
Research Fund of Hunan Provincial Education Department (No. 11A043) and the Construct Program
of the Key Discipline in Hunan Province. |
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| Abstract： |
For $x=(x_1,x_2,\cdots,x_n)\in \mathbb{R}_{+}^n\cup
\mathbb{R}_{-}^n$, the symmetric functions $F_n(x,r)$ and $G_n(x,r)$
are defined by
$$F_n(x,r)=F_n(x_1, x_2, \cdots, x_n; r)=\sum_{1\le i_1 |
Keywords： |
Symmetric function, Schur convexity, Inequality |
Classification： |
05E05, 26B25, 52A40 |
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