| 用函数的单调性证明n元对称不等式 |
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| 引用本文： | 纪明.用函数的单调性证明n元对称不等式[J].渤海大学学报(自然科学版),2006,27(1):30-33. |
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| 作者姓名： | 纪明 |
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| 作者单位： | 渤海大学,数学系,辽宁,锦州,121013 |
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| 摘 要： | 给出证明不等式的两个定理，应用这两个定理，可以把某些n元对称不等式的证明转化为一元函数单调性的证明，不仅证明比较简捷而方法也较初等。
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| 关 键 词： | 严格递增(减)函数 单调性 对称不等式 |
| 文章编号： | 1673-0569(2006)01-0030-04 |
| 收稿时间： | 09 10 2005 12:00AM |
| 修稿时间： | 2005年9月10日 |
Proving symmetrical ineguality with n variables by monotonicity of function |
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| JI Ming.Proving symmetrical ineguality with n variables by monotonicity of function[J].Journal of Bohai University:Natural Science Edition,2006,27(1):30-33. |
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| Authors: | JI Ming |
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| Institution: | Department of Mathematies,Bohai University,Jinzhou 121013,China |
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| Abstract: | In this paper, two theorems are proposed to prove some inequalities. Applying these theorems we can transform the proving of some symmetrical inequatities with n variables into the proving of the monotoncities of some functions with one variable. Not only the process is simple but also the method is elementary. |
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| Keywords: | rigorous increasing(decreasing) function monotonicity symmetrical inequality |
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