RATE OF CONVERGENCE FOR MEYER-KONIG AND ZELLER OPERATORS WITH JACOBI-WEIGHTS  

RATE OF CONVERGENCE FOR MEYER-KONIG AND ZELLER OPERATORS WITH JACOBI-WEIGHTS

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作  者:SongRuying XuangPeicai  

机构地区:[1]TaiyuanTeachersCollege,China [2]ShaoxingCollegeofArtsandScience,China

出  处:《Approximation Theory and Its Applications》2002年第3期52-64,共13页逼近论及其应用(英文版)

基  金:Supported by the Shanxi Province Youth Foundation of China,Grant 20011005.

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.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.

分 类 号:O174.41[理学—数学] O177[理学—基础数学]

 

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