| 加权的Marcinkiewicz－Zygmund不等式 |
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| 引用本文： | 钟乐凡,沈燮昌. 加权的Marcinkiewicz－Zygmund不等式[J]. 数学进展, 1994, 0(1) |
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| 作者姓名： | 钟乐凡 沈燮昌 |
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| 作者单位： | 北京大学数学系 |
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| 摘 要： | 本文证明加Ａｐ权的Ｍａｒｃｉｎｋｉｅｗｉｃｚ－Ｚｙｇｍｕｎｄ不等式，并指出对权所加的Ａｐ条件是必要的，最后还把这些结果应用于Ｌａｇｒａｎｇｅ插值多项式加权平均逼近阶的估计。
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| 关 键 词： | Marcinkiewicz－Zygmund不等式，Ap权条件，插值 |
Weighted Marcinkiewicz-Zygmund Inequalities |
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| Zhong Lefan,Shen Xiechang. Weighted Marcinkiewicz-Zygmund Inequalities[J]. Advances in Mathematics(China), 1994, 0(1) |
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| Authors: | Zhong Lefan Shen Xiechang |
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| Abstract: | In this paper,Marcinkiewicz-Zygmund inequalities with A_p weight are proved.It is also showed that the A_p condition is necessary,These results are applied to estimate the crrors of mean approximation by Lagrange intorpolation polynomials. |
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| Keywords: | Marcinkiewicz-Zygmund inequalities A_p weight condition interpolation |
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