| 不等式证明的三种方法 |
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| 引用本文： | 曾 静. 不等式证明的三种方法[J]. 重庆工商大学学报(自然科学版), 2013, 30(7): 16-18 |
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| 作者姓名： | 曾 静 |
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| 作者单位： | 重庆工商大学数学与统计学院,重庆,400067 |
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| 基金项目： | 国家自然科学基金，重庆市自然科学基金，重庆工商大学科研启动项目 |
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| 摘 要： | 不等式证明是数学分析教学过程中的一类重要题型,结合各章节与不等式证明相关的知识,对已有方法进行归纳总结,以促进和加强初学者对不等式证明方法的了解和掌握.
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| 关 键 词： | 不等式 函数单调性 中值定理 函数凸性 |
Three Methods for Proofs of Inequalities |
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| ZENG Jing. Three Methods for Proofs of Inequalities[J]. Journal of Chongqing Technology and Business University:Natural Science Edition, 2013, 30(7): 16-18 |
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| Authors: | ZENG Jing |
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| Abstract: | The proofs of inequalities are a kind of important topics in the process of mathematical analysis teaching,by combining the related knowledge on the proofs of inequalities in all chapters and by generalizing the existed methods for the proofs of inequalities,three methods such as function monotonicity method,mean value throrem method andfuncton convexity method are summarized in order to boost and enhance initial learners to understand and master the methods for proofs of the inequalities. |
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| Keywords: | inequality function monotonicity mean value theorem function convexity |
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