| Cauchy-Schwarz不等式的一些反向及改进 |
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| 引用本文： | 刘建忠,许瑞华. Cauchy-Schwarz不等式的一些反向及改进[J]. 数学的实践与认识, 2007, 37(15): 136-140 |
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| 作者姓名： | 刘建忠 许瑞华 |
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| 作者单位： | 江苏技术师范学院,基础部,江苏,常州,213001 |
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| 基金项目： | 江苏技术师范学院引进人员科研项目 |
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| 摘 要： | 在一些附加条件下给出内积空间的Cauchy-Schwarz不等式的反向不等式及其改进,利用所得结果得到一个新的积分型Kantorovich不等式,并获得关于函数的Fourier系数的两个不等式.
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| 关 键 词： | Cauchy-Schwarz不等式 Kantorovich不等式 Fourier系数 |
| 修稿时间： | 2006-05-10 |
Some Converse And Improvements on Cauchy-Schwarz Inequality |
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| LIU Jian-zhong,XU Rui-hua. Some Converse And Improvements on Cauchy-Schwarz Inequality[J]. Mathematics in Practice and Theory, 2007, 37(15): 136-140 |
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| Authors: | LIU Jian-zhong XU Rui-hua |
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| Abstract: | Some Converse and improvements on Cauchy-Schwarz inequality is given,Under some Conditions.As an application of the result in this paper,A Kantorovich integral inequality and some inequalities on Fourier coefficient are obtained. |
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| Keywords: | Cauchy-Schwarz inequality kantorovich inequality fourier coefficient |
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