An extremal problem and inequalities for entire functions of exponential type

Andrés Chirre, Dimitar K. Dimitrov, Emily Quesada-Herrera, Mateus Sousa

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)3299-3318
Number of pages20
JournalProceedings of the American Mathematical Society
Volume152
Issue number8
DOIs
Publication statusPublished - Aug 2024

Keywords

  • entire function of exponential type
  • extremal function
  • extremal problem
  • One-delta problem

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics

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