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...

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Authors: Sousa, M., Chirre, A., Dimitrov, D.K., Quesada-Herrera, E.
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
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spelling AN EXTREMAL PROBLEM AND INEQUALITIES FOR ENTIRE FUNCTIONS OF EXPONENTIAL TYPESousa, M.Chirre, A.Dimitrov, D.K.Quesada-Herrera, E.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.202420242024info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/20.500.11824/1884reponame:BIRD. BCAM's Institutional Repository Datainstname:Basque Center for Applied Mathematics (BCAM)InglésReconocimiento-NoComercial-CompartirIgual 3.0 Españahttp://creativecommons.org/licenses/by-nc-sa/3.0/es/info:eu-repo/semantics/openAccessoai:bird.bcamath.org:20.500.11824/18842026-06-19T12:47:47Z
dc.title.none.fl_str_mv AN EXTREMAL PROBLEM AND INEQUALITIES FOR ENTIRE FUNCTIONS OF EXPONENTIAL TYPE
title AN EXTREMAL PROBLEM AND INEQUALITIES FOR ENTIRE FUNCTIONS OF EXPONENTIAL TYPE
spellingShingle AN EXTREMAL PROBLEM AND INEQUALITIES FOR ENTIRE FUNCTIONS OF EXPONENTIAL TYPE
Sousa, M.
title_short AN EXTREMAL PROBLEM AND INEQUALITIES FOR ENTIRE FUNCTIONS OF EXPONENTIAL TYPE
title_full AN EXTREMAL PROBLEM AND INEQUALITIES FOR ENTIRE FUNCTIONS OF EXPONENTIAL TYPE
title_fullStr AN EXTREMAL PROBLEM AND INEQUALITIES FOR ENTIRE FUNCTIONS OF EXPONENTIAL TYPE
title_full_unstemmed AN EXTREMAL PROBLEM AND INEQUALITIES FOR ENTIRE FUNCTIONS OF EXPONENTIAL TYPE
title_sort AN EXTREMAL PROBLEM AND INEQUALITIES FOR ENTIRE FUNCTIONS OF EXPONENTIAL TYPE
dc.creator.none.fl_str_mv Sousa, M.
Chirre, A.
Dimitrov, D.K.
Quesada-Herrera, E.
author Sousa, M.
author_facet Sousa, M.
Chirre, A.
Dimitrov, D.K.
Quesada-Herrera, E.
author_role author
author2 Chirre, A.
Dimitrov, D.K.
Quesada-Herrera, E.
author2_role author
author
author
description 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.
publishDate 2024
dc.date.none.fl_str_mv 2024
2024
2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.11824/1884
url http://hdl.handle.net/20.500.11824/1884
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:BIRD. BCAM's Institutional Repository Data
instname:Basque Center for Applied Mathematics (BCAM)
instname_str Basque Center for Applied Mathematics (BCAM)
reponame_str BIRD. BCAM's Institutional Repository Data
collection BIRD. BCAM's Institutional Repository Data
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.811543

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