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– Tura ́n problem. The first variation imposes the additional requirement that the function is radially decreasing while the second one is a generalization whi...
| Authors: | , , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2024 |
| Country: | España |
| Institution: | Basque Center for Applied Mathematics (BCAM) |
| Repository: | BIRD. BCAM's Institutional Repository Data |
| OAI Identifier: | oai:bird.bcamath.org:20.500.11824/1884 |
| Online Access: | http://hdl.handle.net/20.500.11824/1884 |
| Access Level: | Open access |
| Summary: | We study two variations of the classical one-delta problem for entire functions of exponential type, known also as the Carath ́eodory–Fej ́er– Tura ́n 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 inequali- ties, inspired by results due to Duffin and Schaeffer, Landau, and Hardy and Littlewood, are also established. |
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