| Generalized M?bius Inversion with Applications to Integral Equations and Interpolation Process——In Memory of the late Professor Loo-Keng Hua(华罗庚) |
| Received:July 21, 1986 |
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| Abstract: |
| 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 to equidistant smooth interpolation process are expounded in some detail. Moreover, some of our earlier results (cf. [1] ,[2] ,[4]) are refined and improved. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1987.02.031 |
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