| 多维连续函数求积公式中的Proinov猜测 |
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| 引用本文： | 林旭东.多维连续函数求积公式中的Proinov猜测[J].高校应用数学学报(A辑),2004,19(1):75-80. |
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| 作者姓名： | 林旭东 |
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| 作者单位： | 浙江大学,决策优化研究所,浙江,杭州,310028 |
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| 摘 要： | 给出了多维连续函数求积公式中Proinov猜测成立的一个必要条件，并构造反例否定了Proinov的这一猜测．
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| 关 键 词： | 偏差 权列 s维立方体 Proinov猜测 |
| 文章编号： | 1000-4424(2004)01-0075-06 |
A Proinov conjecture of integration of continuous functions with multivalues |
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| LIN Xu-dong.A Proinov conjecture of integration of continuous functions with multivalues[J].Applied Mathematics A Journal of Chinese Universities,2004,19(1):75-80. |
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| Authors: | LIN Xu-dong |
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| Abstract: | In the present paper,a necessary condition which makes a Proinov conjecture on integration of continuous functions with multi values hold is given,and an anti-example which negates this conjecture is constructed. |
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| Keywords: | discrepancy weight sequence s-dimension cubic Proinov conjectureMR Subject Classification: 65D25 65D30 |
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