AN EXTREMAL PROBLEM AND INEQUALITIES FOR ENTIRE FUNCTIONS OF EXPONENTIAL TYPE

Chirre A.; Dimitrov D.K.; Quesada-Herrera E.; Sousa M. · Proceedings of the American Mathematical Society (2024) · DOI: 10.1090/proc/16764

Resumen

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.

Instituciones: Pontificia Universidad Católica del Perú