| Hilbert空间内的一个不等式及其应用 |
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| 引用本文： | 凌德筠,郭育英.Hilbert空间内的一个不等式及其应用[J].北京交通大学学报(自然科学版),1988(2). |
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| 作者姓名： | 凌德筠 郭育英 |
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| 作者单位： | 北方交大数学系，徐州师院数学系 |
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| 摘 要： | 本文在 Hilbert 空间内给出并证明了一个不等式,又将此不等式用于平方可积函数类,得到数学分析中的几个积分不等式;在离散情形推得 Fan 和 Todd 的一个著名不等式.
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| 关 键 词： | Hilbert空间 平方可积函数 |
An Inequality in the Hilbert Space and it's Applications |
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| Ling Dejun,Guo Yuying.An Inequality in the Hilbert Space and it''''s Applications[J].JOURNAL OF BEIJING JIAOTONG UNIVERSITY,1988(2). |
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| Authors: | Ling Dejun Guo Yuying |
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| Institution: | Ling Dejun;Guo Yuying Department of Mathematics |
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| Abstract: | In this paper,we present an inequality in the Hilbert space.Applying the inequality to the class of quadratically integrable functions,we obtain several integral inequalities.Discretizationof this inequality gives the well known formula Fan and Todd inequality. |
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| Keywords: | Hilbert space quadratically integrable function |
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