| 几何凸函数的非对称拟算术平均不等式 |
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| 引用本文： | 刘琼,谭帜辉. 几何凸函数的非对称拟算术平均不等式[J]. 邵阳学院学报(自然科学版), 2011, 8(2): 4-6 |
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| 作者姓名： | 刘琼 谭帜辉 |
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| 作者单位： | 邵阳学院理学与信息科学系,湖南邵阳422004 [2]邵阳市教育局,湖南邵阳422000 |
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| 摘 要： | 本文证明了几何凸函数非对称拟算术平均不等式(文献[1]的猜想),并由此得到了几何凸函数的平均不等式、几何凸函数的幂平均不等式、几何凸函数的几何平均不等式和几何凸函数的双参数平均不等式等.
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| 关 键 词： | 几何凸函数 猜想 平均不等式 非对称拟算术平均不等式 |
The Mean Inequality for Quasi-Arithmetic Asymmetrical Mean of Geometrically Convex Functions |
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| LIU Qiong,TAN Zhi-hui. The Mean Inequality for Quasi-Arithmetic Asymmetrical Mean of Geometrically Convex Functions[J]. Journal of Shaoyang University(Natural Science Edition), 2011, 8(2): 4-6 |
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| Authors: | LIU Qiong TAN Zhi-hui |
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| Affiliation: | LIU Qiong1,TAN Zhi-hui21.Department of science and information science,Shaoyang university,Shaoyang,Hunan China,2.Education Bureau of Shaoyang City,Hunan 422000,China) |
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| Abstract: | In this paper, the mean inequality for quasi-arithmetic asymmetrical mean of geometrically convex functions is proved （a suspicion of reference [1]）. Hence the mean inequality of geometrically convex function, the power mean inequality of geometrically X |
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| Keywords: | geometrically convex functions suspicion mean inequality quasi-arithmetic asymmetrical mean inequality |
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