Publicação
Basic Fourier Series: convergence on and outside the q-Linear Grid
| Resumo: | A q-type Hölder condition on a function f is given in order to establish (uniform) convergence of the corresponding basic Fourier series S_q[f] to the function itself, on the set of points of the q-linear grid. Furthermore, by adding other conditions, one guarantees the (uniform) convergence of S_q[f] to f on and “outside” the set points of the q-linear grid. |
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| Autores principais: | Cardoso, J. L. |
| Assunto: | q-trigonometric functions q-Fourier series Basic Fourier expansions Uniform convergence q-linear grid |
| Ano: | 2011 |
| 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: | A q-type Hölder condition on a function f is given in order to establish (uniform) convergence of the corresponding basic Fourier series S_q[f] to the function itself, on the set of points of the q-linear grid. Furthermore, by adding other conditions, one guarantees the (uniform) convergence of S_q[f] to f on and “outside” the set points of the q-linear grid. |
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