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摘要: |
本文研究了欧几里得空间著名的Selberg不等式和Bessel不等式的强化问题. 利用线性代数的方法, 揭示了Selberg不等式和Bessel不等式之间的一个未知关系. |
关键词: Selberg不等式 Bessel不等式 欧几里得空间 标准正交向量组 |
DOI: |
分类号:O151.2 |
基金项目: |
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An Elegant Relation between Selberg"s Inequality and Bessel"s Inequality |
Tianchen LV
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Abstract: |
The purpose of this paper is to study some famous inequalities in Euclidean space. We are able to reveal an elegant relation between the famous Selberg inequality and Bessel inequality in Euclidean space. |
Key words: the Selberg inequality the Bessel inequality Euclidean space Orthonormal family |