| 关于Stolarsky与Gini平均的一类比较 |
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| 引用本文： | 何灯,吴善和.关于Stolarsky与Gini平均的一类比较[J].广东教育学院学报,2014(3):15-25. |
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| 作者姓名： | 何灯 吴善和 |
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| 作者单位： | [1]福清港头中学,福建福清350317 [2]龙岩学院数学与计算机科学学院,福建龙岩364012 |
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| 基金项目： | 福建省自然科学基金资助项目（2012JOl014）;福建省教育厅资助省属高校科研专项（JK2012049） |
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| 摘 要： | 探讨Stolarsky平均S(r,s;x,y)与Gini平均G(r-k,s-k;x,y)(k∈R)的比较,给出了比较的充要条件,完整地解决了上述两平均的大小判定问题,所建立的不等式能推导出现有的诸多结论.文末提出了一个待解决的问题.
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| 关 键 词： | Stolarsky平均 Gini平均 不等式 比较 |
A Comparison of Stolarsky and Gini Means |
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| HE Deng,WU Shan-he.A Comparison of Stolarsky and Gini Means[J].Journal of Guangdong Education Institute,2014(3):15-25. |
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| Authors: | HE Deng WU Shan-he |
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| Institution: | 1.Gangtou Middle School, Fuqing, Fujian, 350317, P.R.China＇ 2. Department of Mathematics and Computer Science, Longyan University, Longyan, Fujian, 364012, P.R. China) |
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| Abstract: | In this paper, a comparison for the sufficient conditions for the comparison are given inequality we established can deduce many present Stolarsky and the Gini mean is established. The necessary and and the comparison of the means is completely solved. The conclusions. At the end of the paper, we present a problem to be solved. |
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| Keywords: | Stolarsky mean Gini mean inequality mean comparison |
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