AN EXTREMAL PROBLEM AND INEQUALITIES FOR ENTIRE FUNCTIONS OF EXPONENTIAL TYPE
| dc.contributor.author | Chirre, Andrés | |
| dc.contributor.author | Dimitrov, Dimitar K. [UNESP] | |
| dc.contributor.author | Quesada-Herrera, Emily | |
| dc.contributor.author | Sousa, Mateus | |
| dc.contributor.institution | Pontificia Universidad Católica del Perú | |
| dc.contributor.institution | Universidade Estadual Paulista (UNESP) | |
| dc.contributor.institution | Institute of Analysis and Number Theory | |
| dc.contributor.institution | BCAM - Basque Center for Applied Mathematics | |
| dc.date.accessioned | 2025-04-29T18:36:20Z | |
| dc.date.issued | 2024-08-01 | |
| dc.description.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. | en |
| dc.description.affiliation | Departamento de Ciencias Sección Matemáticas Pontificia Universidad Católica del Perú | |
| dc.description.affiliation | Departamento de Matemática IBILCE Universidade Estadual Paulista UNESP | |
| dc.description.affiliation | Graz University of Technology Institute of Analysis and Number Theory, Kopernikusgasse 24/II | |
| dc.description.affiliation | BCAM - Basque Center for Applied Mathematics, Alameda de Mazarredo 14, Bizkaia | |
| dc.description.affiliationUnesp | Departamento de Matemática IBILCE Universidade Estadual Paulista UNESP | |
| dc.format.extent | 3299-3318 | |
| dc.identifier | http://dx.doi.org/10.1090/proc/16764 | |
| dc.identifier.citation | Proceedings of the American Mathematical Society, v. 152, n. 8, p. 3299-3318, 2024. | |
| dc.identifier.doi | 10.1090/proc/16764 | |
| dc.identifier.issn | 1088-6826 | |
| dc.identifier.issn | 0002-9939 | |
| dc.identifier.scopus | 2-s2.0-85197383494 | |
| dc.identifier.uri | https://hdl.handle.net/11449/298151 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Proceedings of the American Mathematical Society | |
| dc.source | Scopus | |
| dc.subject | entire function of exponential type | |
| dc.subject | extremal function | |
| dc.subject | extremal problem | |
| dc.subject | One-delta problem | |
| dc.title | AN EXTREMAL PROBLEM AND INEQUALITIES FOR ENTIRE FUNCTIONS OF EXPONENTIAL TYPE | en |
| dc.type | Artigo | pt |
| dspace.entity.type | Publication | |
| unesp.campus | Universidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Preto | pt |