| 关于L2空间中权为e-x的Bernstein-Markov 不等式 |
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| 引用本文： | 章仁江. 关于L2空间中权为e-x的Bernstein-Markov 不等式[J]. 工程数学学报, 2004, 21(3): 455-458 |
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| 作者姓名： | 章仁江 |
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| 作者单位： | 中国计量学院数学系,杭州,310018;浙江大学计算机图象图形研究所,杭州,310034 |
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| 摘 要： | ![]()
本文求出了L2空间权为e-x的Bernstein-Markov不等式的渐进精确常数,即设pn(x)为(0,∞)上次数不超过n的代数多项式,则有∫∞0p12n(x)e-xdx＜[(2/π)2(n+1/2)2+1/4]∫∞0p2n(x)e-xdx且常数"(2/π)2","1/2"和阶"n2"已不可改进.
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| 关 键 词： | 正交多项式 Bernstein-Markov不等式 权 |
| 文章编号： | 1005-3085(2004)03-0455-04 |
| 修稿时间： | 2001-12-24 |
Markov-Type Inequality with Respect to Weight e-x in L2 |
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| ZHANG Ren-jian. Markov-Type Inequality with Respect to Weight e-x in L2[J]. Chinese Journal of Engineering Mathematics, 2004, 21(3): 455-458 |
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| Authors: | ZHANG Ren-jian |
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| Affiliation: | ZHANG Ren-jianDepartment of Mathematics,China Institute of Metrology Zhejiang,Hangzhou,310018, Institute of Compute Images and Graphics,zhejiang University,zhangzhou,310034 ) |
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| Abstract: | ![]()
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| Keywords: | orthogonal polynomial Bernstein-Markov inequality weight |
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