New Poisson inequality for the Radon transform of infinitely differentiable functions

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,...

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Detalles Bibliográficos
Autor principal: Sun, Ziyao
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6105187/
https://www.ncbi.nlm.nih.gov/pubmed/30839568
http://dx.doi.org/10.1186/s13660-018-1805-9
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author Sun, Ziyao
author_facet Sun, Ziyao
author_sort Sun, Ziyao
collection PubMed
description 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).
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spelling pubmed-61051872018-08-30 New Poisson inequality for the Radon transform of infinitely differentiable functions Sun, Ziyao J Inequal Appl Research 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). Springer International Publishing 2018-08-17 2018 /pmc/articles/PMC6105187/ /pubmed/30839568 http://dx.doi.org/10.1186/s13660-018-1805-9 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Sun, Ziyao
New Poisson inequality for the Radon transform of 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 Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6105187/
https://www.ncbi.nlm.nih.gov/pubmed/30839568
http://dx.doi.org/10.1186/s13660-018-1805-9
work_keys_str_mv AT sunziyao newpoissoninequalityfortheradontransformofinfinitelydifferentiablefunctions

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