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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. |
关键词: 不等式 函数单调性 中值定理 函数凸性 |
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Three Methods for Proofs of Inequalities |
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. |
Key words: inequality function monotonicity mean value theorem function convexity |