Abstract
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.
Original language | English |
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Pages (from-to) | 3299-3318 |
Number of pages | 20 |
Journal | Proceedings of the American Mathematical Society |
Volume | 152 |
Issue number | 8 |
DOIs | |
Publication status | Published - Aug 2024 |
Keywords
- entire function of exponential type
- extremal function
- extremal problem
- One-delta problem
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics