| ON THE RATE OF WEIGHTED Lp CONVERGENCE BY THE GRUENWALD INTERPOLATORY OPERATORS |
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| 引用本文： | YaoKui ChenZhixiang. ON THE RATE OF WEIGHTED Lp CONVERGENCE BY THE GRUENWALD INTERPOLATORY OPERATORS[J]. 分析论及其应用, 2003, 19(2): 115-120. DOI: 10.1007/BF02835235 |
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| 作者姓名： | YaoKui ChenZhixiang |
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| 作者单位： | [1]NanjingUniversity,China [2]ShaoxingCollegeofArtsandSicence,China |
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| 摘 要： | This paper gives the weighted Lp convergence rate estimations of the Gruenwald interpolatory polynomials based on the zeros of Chebyshev polymomials of the first kind,and proves that the order of the estimations is optimal for p≥1.
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| 关 键 词： | 收敛率 Chebyshev多项式 定义域 Gruenwald插值算子 估计阶 |
| 收稿时间： | 2002-03-25 |
On the rate of weightedLp convergence by the Grünwald interpolatory operators |
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| Yao Kui,Chen Zhixiang. On the rate of weightedLp convergence by the Grünwald interpolatory operators[J]. Analysis in Theory and Applications, 2003, 19(2): 115-120. DOI: 10.1007/BF02835235 |
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| Authors: | Yao Kui Chen Zhixiang |
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| Affiliation: | (1) Department of Mathematics, Nanjing University, 210093 Nanjing, P. R. China;(2) Shaoxing College of Arts and Sicence, China |
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| Abstract: | This paper gives the weighted Lp convergence rate estimations of the Grünwald interpolatory polynomials based on the zeros of Chebyshev polynomials of the first kind, and proves that the order of the estimations is optimal for p≥1. |
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| Keywords: | Chebyshev polynomials Grünwald interpolatory polynomials weighted Lp convergence |
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