| The Iyengar Type Inequalities with Exact Estimations and the Chebyshev Central Algorithms of Integrals |
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| 引用本文： | Xing Hua WANG Shi Jun YANG. The Iyengar Type Inequalities with Exact Estimations and the Chebyshev Central Algorithms of Integrals[J]. 数学学报(英文版), 2005, 21(6): 1361-1376. DOI: 10.1007/s10114-005-0578-5 |
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| 作者姓名： | Xing Hua WANG Shi Jun YANG |
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| 作者单位： | [1]Department of Mathematics, Zhejiang University, Hangzhou 310028, P. R. China [2]College of Mathematics and Information Science, Wenzhou University, Zheiianq 325200, P, R, China [3]Department of Mathematics, Hangzhou Normal College, Hangzhou 310012, P. R. China |
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| 基金项目： | This work is supported by the Special Funds for Major State Basic Research Projects （Grant No. G19990328） and National Science Foundation of China （Grant No. 10471128） |
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| 摘 要： |
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| 关 键 词： | Iyengar不等式 精确估计 求积公式 插值 Nikol-skii估计 |
| 收稿时间： | 2003-09-02 |
| 修稿时间： | 2003-09-022004-02-24 |
The Iyengar Type Inequalities with Exact Estimations and the Chebyshev Central Algorithms of Integrals |
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| Xing Hua Wang,Shi Jun Yang. The Iyengar Type Inequalities with Exact Estimations and the Chebyshev Central Algorithms of Integrals[J]. Acta Mathematica Sinica(English Series), 2005, 21(6): 1361-1376. DOI: 10.1007/s10114-005-0578-5 |
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| Authors: | Xing Hua Wang Shi Jun Yang |
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| Affiliation: | (1) Department of Mathematics, Zhejiang University, Hangzhou 310028, P. R. China;(2) College of Mathematics and Information Science, Wenzhou University, Zhejiang 325200, P. R. China;(3) Department of Mathematics, Zhejiang University, Hangzhou 310028, P. R. China;(4) Department of Mathematics, Hangzhou Normal College, Hangzhou 310012, P. R. China |
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| Abstract: | In this paper, both low order and high order extensions of the Iyengar type inequality are obtained. Such extensions are the best possible in the same sense as that of the Iyengar inequality. hzrthermore, the Chebyshev central algorithms of integrals for some function classes and some related problems are also considered and investigated. |
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| Keywords: | Iyengar inequality Chebyshev center Best quadrature formula Best interpolation Nikol-skii type estimations |
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