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Uniform convergence of basic Fourier–Bessel series on a q-linear grid
We study Fourier–Bessel series on a q-linear grid, defined as expansions in complete q-orthogonal systems constructed with the third Jackson q-Bessel function, and obtain sufficient conditions for uniform convergence. The convergence results are illustrated with specific examples of expansions in q-...
| Autores principales: | , , |
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
Springer US
2018
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| Materias: | |
| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6559159/ https://www.ncbi.nlm.nih.gov/pubmed/31258382 http://dx.doi.org/10.1007/s11139-018-0070-3 |
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| author | Abreu, L. D. Álvarez-Nodarse, R. Cardoso, J. L. |
| author_facet | Abreu, L. D. Álvarez-Nodarse, R. Cardoso, J. L. |
| author_sort | Abreu, L. D. |
| collection | PubMed |
| description | We study Fourier–Bessel series on a q-linear grid, defined as expansions in complete q-orthogonal systems constructed with the third Jackson q-Bessel function, and obtain sufficient conditions for uniform convergence. The convergence results are illustrated with specific examples of expansions in q-Fourier–Bessel series. |
| format | Online Article Text |
| id | pubmed-6559159 |
| institution | National Center for Biotechnology Information |
| language | English |
| publishDate | 2018 |
| publisher | Springer US |
| record_format | MEDLINE/PubMed |
| spelling | pubmed-65591592019-06-26 Uniform convergence of basic Fourier–Bessel series on a q-linear grid Abreu, L. D. Álvarez-Nodarse, R. Cardoso, J. L. Ramanujan J Article We study Fourier–Bessel series on a q-linear grid, defined as expansions in complete q-orthogonal systems constructed with the third Jackson q-Bessel function, and obtain sufficient conditions for uniform convergence. The convergence results are illustrated with specific examples of expansions in q-Fourier–Bessel series. Springer US 2018-09-20 2019 /pmc/articles/PMC6559159/ /pubmed/31258382 http://dx.doi.org/10.1007/s11139-018-0070-3 Text en © The Author(s) 2018 Open AccessThis 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 | Article Abreu, L. D. Álvarez-Nodarse, R. Cardoso, J. L. Uniform convergence of basic Fourier–Bessel series on a q-linear grid |
| title | Uniform convergence of basic Fourier–Bessel series on a q-linear grid |
| title_full | Uniform convergence of basic Fourier–Bessel series on a q-linear grid |
| title_fullStr | Uniform convergence of basic Fourier–Bessel series on a q-linear grid |
| title_full_unstemmed | Uniform convergence of basic Fourier–Bessel series on a q-linear grid |
| title_short | Uniform convergence of basic Fourier–Bessel series on a q-linear grid |
| title_sort | uniform convergence of basic fourier–bessel series on a q-linear grid |
| topic | Article |
| url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6559159/ https://www.ncbi.nlm.nih.gov/pubmed/31258382 http://dx.doi.org/10.1007/s11139-018-0070-3 |
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