New Poisson inequality for the Radon transform of infinitely differentiable functions
Abstract Poisson inequality for the Radon transform is a key tool in signal analysis and processing. An analogue of the Hardy–Littlewood–Poisson inequality for the Radon transform of infinitely differentiable functions is proved. The result is related to a paper of Luan and Vieira (J. Inequal. Appl....
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-08-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | http://link.springer.com/article/10.1186/s13660-018-1805-9 |
| _version_ | 1818419456517341184 |
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| author | Ziyao Sun |
| author_facet | Ziyao Sun |
| author_sort | Ziyao Sun |
| collection | DOAJ |
| description | Abstract Poisson inequality for the Radon transform is a key tool in signal analysis and processing. An analogue of the Hardy–Littlewood–Poisson inequality for the Radon transform of infinitely differentiable functions is proved. The result is related to a paper of Luan and Vieira (J. Inequal. Appl. 2017:12, 2017) and to a previous paper by Yang and Ren (Proc. Indian Acad. Sci. Math. Sci. 124(2):175-178, 2014). |
| first_indexed | 2024-12-14T12:38:52Z |
| format | Article |
| id | doaj.art-71876d1ae9c2466f9c9f89aa8440ea41 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-14T12:38:52Z |
| publishDate | 2018-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-71876d1ae9c2466f9c9f89aa8440ea412022-12-21T23:00:57ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-08-012018111310.1186/s13660-018-1805-9New Poisson inequality for the Radon transform of infinitely differentiable functionsZiyao Sun0School of Economic Mathematics, Southwestern University of Finance and EconomicAbstract Poisson inequality for the Radon transform is a key tool in signal analysis and processing. An analogue of the Hardy–Littlewood–Poisson inequality for the Radon transform of infinitely differentiable functions is proved. The result is related to a paper of Luan and Vieira (J. Inequal. Appl. 2017:12, 2017) and to a previous paper by Yang and Ren (Proc. Indian Acad. Sci. Math. Sci. 124(2):175-178, 2014).http://link.springer.com/article/10.1186/s13660-018-1805-9Poisson inequalityRadon transformInfinitely differentiable functions |
| spellingShingle | Ziyao Sun New Poisson inequality for the Radon transform of infinitely differentiable functions Journal of Inequalities and Applications Poisson inequality Radon transform Infinitely differentiable functions |
| title | New Poisson inequality for the Radon transform of infinitely differentiable functions |
| title_full | New Poisson inequality for the Radon transform of infinitely differentiable functions |
| title_fullStr | New Poisson inequality for the Radon transform of infinitely differentiable functions |
| title_full_unstemmed | New Poisson inequality for the Radon transform of infinitely differentiable functions |
| title_short | New Poisson inequality for the Radon transform of infinitely differentiable functions |
| title_sort | new poisson inequality for the radon transform of infinitely differentiable functions |
| topic | Poisson inequality Radon transform Infinitely differentiable functions |
| url | http://link.springer.com/article/10.1186/s13660-018-1805-9 |
| work_keys_str_mv | AT ziyaosun newpoissoninequalityfortheradontransformofinfinitelydifferentiablefunctions |