Holder不等式和Minkowski不等式在向量与矩阵理论中的作用 |
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引用本文: | 古丽加克热木·阿布来,沙吾提·阿吾提. Holder不等式和Minkowski不等式在向量与矩阵理论中的作用[J]. 新疆大学学报(自然科学维文版), 2012, 0(1): 44-49 |
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作者姓名: | 古丽加克热木·阿布来 沙吾提·阿吾提 |
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摘 要: | 矩阵概念是数学中特别是线性代数中的主要概念之一,它的应用范围很广。它在研究数学的有关分支上的应用,特别是在研究线性空间和线性变换时是不可缺少的应用工具。另外,矩阵在自然科学和工业科学中广泛应用。本文介绍Holder不等式和Minkowski不等式在矩阵理论中的作用。
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关 键 词: | Holder不等式 Minkowski不等式 矩阵 |
The Applications of Holder and Minkowski Inequalities in Vector and Matrix Theory |
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Abstract: | Concept of Matrix is one of main concepts in mathematics, especially in the linear algebra. It is widely applied in some branches of mathematics, especially in the research of linear spaces and linear transformation. Furthermore, matrix is widely used in the natural sciences and industrial sciences. In this paper, applications of Holder and Minkowski inequalities in matrix theorv are discussed. |
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Keywords: | Holder inequality Minkowski inequality Matrix Applications. |
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