| 关于双边的Young不等式和一个逆定理 |
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| 引用本文： | 徐利治,邹春苓. 关于双边的Young不等式和一个逆定理[J]. 曲阜师范大学学报, 1989, 0(3) |
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| 作者姓名： | 徐利治 邹春苓 |
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| 作者单位： | 大连理工大学应用数学系，大连理工大学应用数学系 |
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| 摘 要： | 本文将经典的W.H.Young单边不等式扩充成为双边不等式,并证明了一条类似Takahashi的逆定理。文末举了几个简单例子,以说明双边不等式的应用。
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| 关 键 词： | 反函数 双边不等式 |
On a Two-sided Young luequality and a Converse Theorem |
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| Xu Lizhi,Zou Chunling. On a Two-sided Young luequality and a Converse Theorem[J]. Journal of Qufu Normal University(Natural Science), 1989, 0(3) |
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| Authors: | Xu Lizhi Zou Chunling |
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| Affiliation: | Xu Lizhi;Zou Chunling |
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| Abstract: | The classical inequality of W. H Young provides a best possible lowerbound for the Sum of two integrals with reciprocal functions as integrands.In this note, a kind of best Possible upper bound is given, and a conversetheorem similar to T. Takahashi's is Proved. Finally a few examples arementioned which may indicate the usefulness of the two-sided inequality. |
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| Keywords: | inverse function two-sided inequality |
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