| 三个复杂不等式的合并与推广 |
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| 引用本文： | 张波.三个复杂不等式的合并与推广[J].科学技术与工程,2011,11(13):3029-3030. |
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| 作者姓名： | 张波 |
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| 作者单位： | 山东临沂大学费县分校,费县,273400 |
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| 基金项目： | 山东省自然科学基金(No.Y2008A27) |
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| 摘 要： | 将am1+am2+…+amn/n≥(a1+a2+…+an/n)m,ak1/s-a1+ak2/s-a2+…akn/s-an≥sk-1/(n-1)nk-2和∑xmi/(λ-μxti)k≥nXm/(λ-μxt)k×(X是xi的均值)合并成一个不等式,同时运用Jenson不等式给出其简便证明并作进一步推广。
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| 关 键 词： | 凸函数 Jenson不等式 不等式合并 不等式推广 |
| 收稿时间： | 1/29/2011 3:03:06 PM |
| 修稿时间： | 2/20/2011 9:22:17 PM |
The Mergence and Promotion of Three Complex Inequalities |
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| zhangbo.The Mergence and Promotion of Three Complex Inequalities[J].Science Technology and Engineering,2011,11(13):3029-3030. |
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| Authors: | zhangbo |
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| Institution: | ZHANG Bo(Feixian Branch Campus,Linyi University,Feixian 273400,P.R.China) |
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| Abstract: | Three complex lnequalities of literature 1-3] seem like totally different, in this paper, we merge them into an inequality, and provide simple proof and further promotion by using Jenson inequality. |
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| Keywords: | Convex function Jenson inequality Mergence of inequality Promotion of inequality |
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