| 加单权Poincare型不等式 |
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| 引用本文： | 商秀印,顾志华.加单权Poincare型不等式[J].沧州师专学报,2010,26(1):104-105. |
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| 作者姓名： | 商秀印 顾志华 |
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| 作者单位： | [1]河北大学数学与计算机学院,河北保定071002 [2]河北农业大学理学院,河北保定071001 |
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| 基金项目： | 河北省自然科学基金教学研究专项 |
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| 摘 要： | 利用权得到了Poincare型积分不等式的推广：加权Poincare型积分不等式。这个不等式是经典结果的推广，它可被用来研究积分性质和用来做积分值的估计。
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| 关 键 词： | 赫尔德不等式 Poincare不等式 弱逆赫尔德不等式 |
Weighted Poincare Inequality |
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| Institution: | SHANG Xiu - yin, GU Zhi - hua (1. College of Mathematics and Computer Science, Hebei University, Baoding, 071002, Hebei; 2. College of Science, Agricultural University of Hebei, Baoding, 071001, Hebei ) |
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| Abstract: | Using weight we obtain the generalized Poincare inequality, the weighted Poineare inequality. This generalized inequality of the classic result can be used to estimate the integral value, or study the quality of the calculus. |
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| Keywords: | Holder inequality Poincare inequality weak inverse Holder inequality |
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