| Weighted Approximation of Kantorovich-Type Operator of Butzer-Hahn |
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| 作者姓名： | 田军 王绍钦 王玉 |
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| 作者单位： | [1]SchoolofManagement,FudanUniversity,Shanghai200433,China／／DepartmentofCommoditiesandBusinessTrade,ZhengzhouInstituteofAeronauticalIndustrialManagement,Zhengzhou450015,China [2]SeventhFaculty,People＇sLiberationArmyForeignLanguageInstitute,Luoyang471003,China [3]SchoolofAdultEducation,SouthwestJiaotongUniversity,Chengdu610031,China |
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| 基金项目： | TheNationalNaturalScienceFoundationofChina(No.70432001)andtheProgramofKeyScienceandTechnologyProblemsofHenanProvince(No.0496480016). |
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| 摘 要： | A kind of Kantorovich-type operator of Butzer-Hahn Bn^* (f; x) on the bounded and integrable function space was introduced, and the properties of Bn^* (f; x) were studied. Positive theorem, converse theorem, and the order of weighted approximation of Bn^* (f; x) were obtained.
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| 关 键 词： | 加权逼近 坎托罗维奇算子 哈恩算子 可积函数 |
Weighted Approximation of Kantorovich-Type Operator of Butzer-Hahn |
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| Tian Jun,Wang Shaoqin,Wang Yu.Weighted Approximation of Kantorovich-Type Operator of Butzer-Hahn[J].Journal of Southwest Jiaotong University,2005,13(1):95-102. |
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| Authors: | Tian Jun Wang Shaoqin Wang Yu |
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| Abstract: | A kind of Kantorovich-type operator of Butzer-Hahn B*_n(f; x) on the bounded and integrable function space was introduced, and the properties of B*_n(f; x) were studied. Positive theorem, converse theorem, and the order of weighted ~approximation of B*_n(f; x) were obtained. |
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| Keywords: | Kantorovich-type operator of Butzer-Hahn Properties of approximation Weighted approximation |
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