Generalized Mbius Inversion with Applications to Integral Equations and Interpolation Process |
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引用本文: | 华罗庚,徐利治.Generalized Mbius Inversion with Applications to Integral Equations and Interpolation Process[J].数学研究与评论,1987(2). |
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作者姓名: | 华罗庚 徐利治 |
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作者单位: | In Memory of the late Professor,Dalian Institute of Technology,Dalian,China |
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摘 要: | The object of this expository paper is to establish a kind of generalized M(?)bius-Rota inversion formula by the aid of non-standard analysis. Certain constructive applications to Volterra type integral equations and toequidistant smooth interpolation process are expounded in some detail. Moreover, some of our earlier results (cf. 1], 2], 4]) are refined and improved.
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