| 2个著名不等式的新证法 |
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| 引用本文： | 赵华新.2个著名不等式的新证法[J].甘肃科学学报,2006,18(4):13-14. |
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| 作者姓名： | 赵华新 |
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| 作者单位： | 延安大学,数学与计算机科学学院,陕西,延安,716000 |
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| 摘 要： | 建立了一个新的泛函不等式,作为应用,给出了著名不等式"几何平均数不大于算术平均数"及其推广形式的一种新证明.
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| 关 键 词： | 不等式 几何平均数 算术平均 |
| 文章编号： | 1004-0366（2006）04-0013-02 |
| 收稿时间： | 2005-11-16 |
| 修稿时间： | 2005年11月16 |
A New Proof of Two Well-Known Inequalities |
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| ZHAO Hua-xin.A New Proof of Two Well-Known Inequalities[J].Journal of Gansu Sciences,2006,18(4):13-14. |
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| Authors: | ZHAO Hua-xin |
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| Institution: | College of Mathematics and Computer Science, Yanan University, Yanan 716000, China |
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| Abstract: | A new functional inequality was established as one of the two applications, which could prove the notable inequality that the geometrical average is no more than the algebraic average, and could also prove its related forms. |
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| Keywords: | inequality geometrical average algebraic average |
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