| 实初等对称函数商的Schur—凹性及其应用 |
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| 引用本文： | 马统一.实初等对称函数商的Schur—凹性及其应用[J].兰州大学学报(自然科学版),2001,37(4):19-24. |
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| 作者姓名： | 马统一 |
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| 作者单位： | 河西学院效学系,甘肃,张掖,734000 |
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| 摘 要： | 利用控制不等式的理论讨论了初等对称函数商Er(x1,x2,＋,xn）／Er-p(x1,x2,…,xn)(1≤p≤r≤n)的Schur－凹性，并建立了几个相关的有趣不等式以及它们的加细。
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| 关 键 词： | 对称函数不等式 Schur－凹函数 控制理论 控制不等式 初等对称函数商 Schur－凹性 |
| 文章编号： | 0455-2059(2001)04-0019-06 |
| 修稿时间： | 2000年12月20 |
Schur-Concavity of Quotient for the Elementary Symmetric Function and Its Application |
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| Ma Tongyi.Schur-Concavity of Quotient for the Elementary Symmetric Function and Its Application[J].Journal of Lanzhou University(Natural Science),2001,37(4):19-24. |
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| Authors: | Ma Tongyi |
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| Abstract: | The majrization theorem for the inequalities is a new subject for study by making use of finite broad sphere, for instance, the probability statistics, the stochastic process and the matrix theory.Three new control inequalities are obtained. The Schur concavity of quotient for the elementary symmetric function, relative inequalities and their refinement are discussed and established. |
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| Keywords: | inequality symmetric function Schur concavity Majrization theorem |
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