| RATE OF CONVERGENCE FOR MEYER—KONIG AND ZELLER OPERATORS WITH JACOBI—WEIGHTS |
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| 引用本文： | SongRuying XuangPeicai 等. RATE OF CONVERGENCE FOR MEYER—KONIG AND ZELLER OPERATORS WITH JACOBI—WEIGHTS[J]. 逼近论及其应用, 2002, 18(3): 52-64. DOI: 10.1007/BF02837113 |
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| 作者姓名： | SongRuying XuangPeicai 等 |
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| 作者单位： | [1]TaiyuanTeachersCollege,China [2]ShaoxingCollegeofArtsandScience,China |
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| 摘 要： | We point out that the Meyer-Konig and Zeller operator Mn(f;x) are unbounded in usual Jacobi weighted norm at first,and then we consider the weighted approximation by Mn(f;x) by a new norm and obtain the characterization of convergence rate in nonoptimal approximation by K-functional.
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| 关 键 词： | 加权逼近 收敛速度 Meyer－Koenig－Zeller算子 Jacobi权 权范数 |
Rate of convergence for Meyer-K?nig and Zeller operators with Jacobi-Weights |
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| Song Ruying, Xuan Peicai, You Gongqiang and Wang Jianli. Rate of convergence for Meyer-K?nig and Zeller operators with Jacobi-Weights[J]. Approximation Theory and Its Applications, 2002, 18(3): 52-64. DOI: 10.1007/BF02837113 |
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| Authors: | Song Ruying Xuan Peicai You Gongqiang Wang Jianli |
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| Abstract: | We point out that the Meyer-K?nig and Zeller operator Mn(f;x) are unbounded in usual Jacobi weighted norm at first, and then we consider the weighted approximation by Mn(f;x) by a new norm and obtain the characterization of convergence rate in nonoptimal approximation by K-functional. |
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