| 关于内积空间中逆Cauchy-Schwarz不等式的一些结果 |
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| 引用本文： | 王公宝,马吉溥.关于内积空间中逆Cauchy-Schwarz不等式的一些结果[J].东北数学,2005,21(2):207-211. |
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| 作者姓名： | 王公宝 马吉溥 |
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| 作者单位： | Department of Basic Courses，Naval University of Engineering，Wuhan，430033，Department of Mathematics，Nanjing University，Nanjing，210093 |
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| 基金项目： | 中国科学院资助项目;国家自然科学基金 |
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| 摘 要： | Some new reverses of the Cauchy-Schwarz inequality in inner product spaces are presented in this paper. As an application of the main result, a formula for error estimate concerning Cauchy-Schwarz‘s inequality is provided. The results obtained in the paper complement and improve some recent work about this topic.
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| 关 键 词： | 内积空间 柯西-施瓦茨不等式 逆不等式 误差估计 希尔伯特空间 |
Some Results on Reverses of Cauchy-Schwarz Inequality in Inner Product Spaces |
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| WANG Gong-bao,MA Ji-pu.Some Results on Reverses of Cauchy-Schwarz Inequality in Inner Product Spaces[J].Northeastern Mathematical Journal,2005,21(2):207-211. |
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| Authors: | WANG Gong-bao MA Ji-pu |
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| Institution: | [1]DepartmentofBasicCourses,NavalUniversityofEngineering,Wuhan,430033 [2]DepartmentofMathematics,NanjingUniversity,Nanjing,210093 |
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| Abstract: | Some new reverses of the Cauchy-Schwarz inequality in inner product spaces are presented in this paper. As an application of the main result, a formula for error estimate concerning Cauchy-Schwarz's inequality is provided. The results obtained in the paper complement and improve some recent work about this topic. |
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| Keywords: | inner product spaces Cauchy-Schwarz's inequality reverse inequality error estimate |
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