| 一类对称函数的Schur-几何凸性Schur-调和凸性 |
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| 引用本文： | 邵志华. 一类对称函数的Schur-几何凸性Schur-调和凸性[J]. 数学的实践与认识, 2012, 42(16): 199-206 |
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| 作者姓名： | 邵志华 |
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| 作者单位： | 浙江广播电视大学平湖学院,浙江平湖,314200 |
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| 基金项目： | 浙江省教育厅课题《最值压缩定理及应用》 |
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| 摘 要： | 讨论一类对称函数的Schur-几何凸性和Schur-调和凸性.作为应用,利用控制理论,也得到一些新的分析不等式.
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| 关 键 词： | Schur-凸性 Schur-几何凸性 Schur-调和凸性 分析不等式 |
The Schur-geometrical Convexity and Schur-harmonic Convexity for a Class of Symmetric Functions |
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| SHAO Zhi-hua. The Schur-geometrical Convexity and Schur-harmonic Convexity for a Class of Symmetric Functions[J]. Mathematics in Practice and Theory, 2012, 42(16): 199-206 |
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| Authors: | SHAO Zhi-hua |
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| Affiliation: | SHAO Zhi-hua (Zhejiang Radio & TV University Pinghu College,Pinghu 314200,China) |
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| Abstract: | This paper deals with the Schur-geometrical convexity and Schur-harmonic convexity for a class of symmetric functions.As applications,some analytic inequalities are established by use of the theory of majorization. |
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| Keywords: | Schur-convexity Schur-geometrical convexity Schur-harmonic convexity analytic inequality |
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