Average linear approximations for smooth functions
Average linear approximations for smooth functions using empirical and Gaussian probabilities are introduced. The convergence of these approximations is shown to be uniform, in the sense of the Weierstrass approximation theorem. Average linear approximations with prearranged error functions are fina...
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| Format: | Article |
| Language: | English |
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University of Bologna
2007-10-01
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| Series: | Statistica |
| Online Access: | http://rivista-statistica.unibo.it/article/view/91 |
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doaj-a7d8d656031647a8bd4738303e83117c2020-11-24T21:17:47ZengUniversity of BolognaStatistica0390-590X1973-22012007-10-0165327129210.6092/issn.1973-2201/9186Average linear approximations for smooth functionsAndrea PalliniAverage linear approximations for smooth functions using empirical and Gaussian probabilities are introduced. The convergence of these approximations is shown to be uniform, in the sense of the Weierstrass approximation theorem. Average linear approximations with prearranged error functions are finally studied.http://rivista-statistica.unibo.it/article/view/91 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Andrea Pallini |
| spellingShingle |
Andrea Pallini Average linear approximations for smooth functions Statistica |
| author_facet |
Andrea Pallini |
| author_sort |
Andrea Pallini |
| title |
Average linear approximations for smooth functions |
| title_short |
Average linear approximations for smooth functions |
| title_full |
Average linear approximations for smooth functions |
| title_fullStr |
Average linear approximations for smooth functions |
| title_full_unstemmed |
Average linear approximations for smooth functions |
| title_sort |
average linear approximations for smooth functions |
| publisher |
University of Bologna |
| series |
Statistica |
| issn |
0390-590X 1973-2201 |
| publishDate |
2007-10-01 |
| description |
Average linear approximations for smooth functions using empirical and Gaussian probabilities are introduced. The convergence of these approximations is shown to be uniform, in the sense of the Weierstrass approximation theorem. Average linear approximations with prearranged error functions are finally studied. |
| url |
http://rivista-statistica.unibo.it/article/view/91 |
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AT andreapallini averagelinearapproximationsforsmoothfunctions |
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1726012081526800384 |