| 关于Chebyshev函数的加权Landau''''s型不等式 |
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| 引用本文： | 沈云海,孙燮华. 关于Chebyshev函数的加权Landau''''s型不等式[J]. 科技通报, 2006, 22(4): 437-440 |
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| 作者姓名： | 沈云海 孙燮华 |
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| 作者单位： | 1. 浙江水利水电专科学校,杭州,310018
2. 中国计量学院,计算机科学与技术系,杭州,310018 |
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| 摘 要： | 本文在L~2上建立了关于Chebyshev多项式T_n(x)的Landau's型不等式。利用T_n(x)的正交性,建立了代数多项式p_n(x)的加权Landau's型不等式,并指出其不等式的系数在某种意义上是最好可能的。
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| 关 键 词： | Landau's型不等式 Chebyshev多项式 正交性 权函数 |
| 文章编号： | 1001-7119（2006）04-0437-04 |
| 收稿时间： | 2005-07-06 |
| 修稿时间： | 2005-07-06 |
The Weighted Landau''''s Type Inequality for Chebyshev Function |
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| SNEN Yun-hai,SUN Xie-hua. The Weighted Landau''''s Type Inequality for Chebyshev Function[J]. Bulletin of Science and Technology, 2006, 22(4): 437-440 |
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| Authors: | SNEN Yun-hai SUN Xie-hua |
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| Affiliation: | 1. Zhejiang Water Conservancy and Hydropower College, Hangzhou 310018,China; 2. Department of Computer Science and Technology China Institute of Metrology Hangzhou 310018, China |
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| Abstract: | An Landau's type inequality for Chebyshev polynomials Tn(x) in L~2 is established in this paper.Using the or- thogonalizaty of Tn(x),a weighted Landau's type inequality of algebraic polynomials Tn(x) is established,and the coeffi- cients in the inequality is the most possible in some sense. |
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| Keywords: | Landau's type inequality Chebyshev polynomials orthogonality weight function |
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