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arXiv 1501.03230math.PRmath.CAmath.FA
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Hardy型不等式中的最优常数

The optimal constant in Hardy-type inequalities

Mu-Fa Chen

摘要:

为了估计Hardy型不等式的最优常数,给出了一些变分公式和逼近方法。已知的基本估计有很大的改进。通过典型算例说明了结果。结果表明,夏普因子是有意义的每个有限区间和一个经典的夏普模型重新检查。

英文摘要:

To estimate the optimal constant in Hardy-type inequalities, some variational formulas and approximating procedures are introduced. The known basic estimates are improved considerably. The results are illustrated by typical examples. It is shown that the sharp factor is meaningful for each finite interval and a classical sharp model is re-examined.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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