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: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/79918 |
| Acceso en línea: | https://hdl.handle.net/11441/79918 https://doi.org/10.1007/s11139-018-0070-3 |
| Access Level: | acceso abierto |
| Palabra clave: | Hahn-Exton q-Bessel function Third Jackson q-Bessel function q-Fourier series Basic Fourier expansions Uniform convergence q-linear grid |
| Sumario: | 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. |
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