| 涉及Gram行列式的一类不等式及应用 |
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| 引用本文： | 孙明保.涉及Gram行列式的一类不等式及应用[J].数学季刊,2002,17(1):85-91. |
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| 作者姓名： | 孙明保 |
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| 作者单位： | 岳阳师范学院数学系 湖南岳阳414000，南京理工大学应用数学系，江苏南京210094 |
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| 基金项目： | SupportedbytheScienceFoundationofHunanProvince(2 0 0 0C315 ) |
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| 摘 要： | 本文建立了涉及Gram行列式式的一类不等式。作为其应用，给出了关于垂足单形的一类不等式，导出了Hadamard不等式。
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| 关 键 词： | Gram行列式 n维单形 不等式 |
A Class of Inequalities Associated with Gram Determinant and Their Applications |
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| SUN Ming-bao.A Class of Inequalities Associated with Gram Determinant and Their Applications[J].Chinese Quarterly Journal of Mathematics,2002,17(1):85-91. |
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| Authors: | SUN Ming-bao |
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| Abstract: | In this paper, a class of inequalities associated with Gram determinant are established, as their application, a class of inequalities on the volume of the pedal simplex are got and Hadamard inequality is derived. |
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| Keywords: | Gram determinant n-simplex inequality |
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