| 初等对称函数的商的Schur调和凸性 |
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| 引用本文： | 许谦. 初等对称函数的商的Schur调和凸性[J]. 大学数学, 2013, 29(1): 34-37 |
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| 作者姓名： | 许谦 |
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| 作者单位： | 嘉兴广播电视大学,浙江嘉兴,314000 |
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| 摘 要： | 讨论了两个初等对称函数的商的Schur调和凸性.作为应用,得到了两个新的分析不等式.最后提出了一个有研究价值的公开问题.
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| 关 键 词： | 不等式 初等对称函数 Schur凸函数 Schur调和凸函数 |
Schur-harmonic Convexity of the Quotient of Elementary Symmetric Functions |
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| XU Qian. Schur-harmonic Convexity of the Quotient of Elementary Symmetric Functions[J]. College Mathematics, 2013, 29(1): 34-37 |
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| Authors: | XU Qian |
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| Affiliation: | XU Qian(1.Jiaxing Radio and TV University,Jiaxing 314000,China; 2.Zhejiang Radio and TV University Haining College 314400,China) |
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| Abstract: | The Schur-harmonic convexity of the quotient of two elementary symmetric functions is discussed.Furthermore,two new analytic inequalities are obtained as its application.Finally,a problem with research value is put forward. |
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| Keywords: | inequality elementary symmetric function Schur convex function Schur harmonic convex function |
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