| 不等式证明的方法探究 |
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| 引用本文： | 孙凤芝,李伟. 不等式证明的方法探究[J]. 大庆师范学院学报, 2010, 30(6) |
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| 作者姓名： | 孙凤芝 李伟 |
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| 作者单位： | 大庆师范学院数学科学学院;沈阳工业大学数学系; |
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| 基金项目： | 黑龙江省高教学会十一五规划项目,黑龙江省新世纪高等教育教学改革工程项目 |
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| 摘 要： | 不等式是研究数学问题的重要工具。它渗透在数学的各个部分,在高等数学中也有极其重要的应用。但是有关不等式证明的高等数学的方法的研究一直缺乏系统的理论层面的提升。我们从导数、函数的凸性、泰勒公式、排序不等式、构造法等高等数学的层面对不等式证明方法进行了有益的探讨。
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| 关 键 词： | 凸函数 不等式证明 方法探究 |
Inequality Proof Method Inquisition |
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| SUN Feng-zhi,LI Wei. Inequality Proof Method Inquisition[J]. Journal of Daqing Normal University, 2010, 30(6) |
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| Authors: | SUN Feng-zhi LI Wei |
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| Affiliation: | SUN Feng-zhi1,LI Wei2 ( 1. College of mathematics,Daqing normal college,Daqing 163712,China,2. Department of Mathematics,Shenyang Industry University,Shenyang 11000,China) |
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| Abstract: | Inequality is to examine an important tool for mathematical problem. It permeates every part of mathematics,in higher mathematics is also extremely important in applications. However,inequality in advanced mathematics to prove the method of the theory has been the lack of system-level upgrade. We derivative of ,the Taylor formula to sort inequality,construction method,such as advanced mathematics to prove the level of inequality method is useful explored. |
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| Keywords: | convex function inequality proof methods to explore |
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