Publicação
Uniform convergence of basic Fourier–Bessel series on a q-linear grid
| Resumo: | 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 (or, the Hahn-Exton 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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| Autores principais: | Abreu, L. D. |
| Outros Autores: | Álvarez-Nodarse, R.; Cardoso, J. L. |
| Assunto: | Hahn–Exton q-Bessel function, Third Jackson q-Bessel function, q-Fourier series, Basic Fourier expansions, Uniform convergence, q-Linear grid |
| Ano: | 2019 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso restrito |
| Instituição associada: | Universidade de Trás-os-Montes e Alto Douro |
| Idioma: | inglês |
| Origem: | Repositório da UTAD |
| Resumo: | 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 (or, the Hahn-Exton 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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