AN EXTREMAL PROBLEM AND INEQUALITIES FOR ENTIRE FUNCTIONS OF EXPONENTIAL TYPE
We study two variations of the classical one-delta problem for entire functions of exponential type, known also as the Carath eodory-Fej er- Turán problem. The first variation imposes the additional requirement that the function is radially decreasing while the second one is a generalization which i...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2024 |
| País: | Brasil |
| Institución: | Universidade Estadual Paulista (UNESP) |
| Repositorio: | Repositório Institucional da UNESP |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unesp.br:11449/298151 |
| Acceso en línea: | http://dx.doi.org/10.1090/proc/16764 https://hdl.handle.net/11449/298151 |
| Access Level: | acceso abierto |
| Palabra clave: | entire function of exponential type extremal function extremal problem One-delta problem |
| Sumario: | We study two variations of the classical one-delta problem for entire functions of exponential type, known also as the Carath eodory-Fej er- Turán problem. The first variation imposes the additional requirement that the function is radially decreasing while the second one is a generalization which involves derivatives of the entire function. Various interesting inequalities, inspired by results due to Duffin and Schaeffer, Landau, and Hardy and Littlewood, are also established. |
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