The Sets Of Positivity Of Sine Series With Monotone Coefficients
We study the sums of nondegenerate sine series with monotone coefficients and consider the sets of positivity of such functions. We obtain the sharp lower estimate of the measure of such a set on [/2,] and a new lower bound on its measure on [0,]. It is shown that the latter measure is at least /2+0...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2072/530734 |
| Acceso en línea: | http://hdl.handle.net/2072/530734 |
| Access Level: | acceso abierto |
| Palabra clave: | Matemàtiques 51 |
| Sumario: | We study the sums of nondegenerate sine series with monotone coefficients and consider the sets of positivity of such functions. We obtain the sharp lower estimate of the measure of such a set on [/2,] and a new lower bound on its measure on [0,]. It is shown that the latter measure is at least /2+0.24 and in the case of fulfilling special conditions it is at least 2/3, which is an unimprovable estimate. |
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