Some Refinements and Generalizations of Bohr’s Inequality
- Autores
- Aljawi, Salma; Conde, Cristian Marcelo; Feki, Kais
- Año de publicación
- 2024
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- In this article, we delve into the classic Bohr inequality for complex numbers, a fundamentalresult in complex analysis with broad mathematical applications. We offer refinements and generalizations of Bohr’s inequality, expanding on the established inequalities of N. G. de Bruijn and Radon, as well as leveraging the class of functions defined by the Daykin–Eliezer–Carlitz inequality. Our novel contribution lies in demonstrating that Bohr’s and Bergström’s inequalities can be derived from one another, revealing a deeper interconnectedness between these results. Furthermore, we present several new generalizations of Bohr’s inequality, along with other notable inequalities from theliterature, and discuss their various implications. By providing more comprehensive and verifiableconditions, our work extends previous research and enhances the understanding and applicability ofBohr’s inequality in mathematical studies.
Fil: Aljawi, Salma. Princess Nourah bint Abdulrahman University; Arabia Saudita
Fil: Conde, Cristian Marcelo. Area de Matematica (area de Matematica) ; Instituto de Ciencias ; Universidad Nacional de General Sarmiento; . Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Feki, Kais. Najran University; Arabia Saudita - Materia
-
Bohr’s inequality
Bergström’s inequality
Radon’s inequality - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/244825
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Some Refinements and Generalizations of Bohr’s InequalityAljawi, SalmaConde, Cristian MarceloFeki, KaisBohr’s inequalityBergström’s inequalityRadon’s inequalityhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this article, we delve into the classic Bohr inequality for complex numbers, a fundamentalresult in complex analysis with broad mathematical applications. We offer refinements and generalizations of Bohr’s inequality, expanding on the established inequalities of N. G. de Bruijn and Radon, as well as leveraging the class of functions defined by the Daykin–Eliezer–Carlitz inequality. Our novel contribution lies in demonstrating that Bohr’s and Bergström’s inequalities can be derived from one another, revealing a deeper interconnectedness between these results. Furthermore, we present several new generalizations of Bohr’s inequality, along with other notable inequalities from theliterature, and discuss their various implications. By providing more comprehensive and verifiableconditions, our work extends previous research and enhances the understanding and applicability ofBohr’s inequality in mathematical studies.Fil: Aljawi, Salma. Princess Nourah bint Abdulrahman University; Arabia SauditaFil: Conde, Cristian Marcelo. Area de Matematica (area de Matematica) ; Instituto de Ciencias ; Universidad Nacional de General Sarmiento; . Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Feki, Kais. Najran University; Arabia SauditaMultidisciplinary Digital Publishing Institute2024-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/244825Aljawi, Salma; Conde, Cristian Marcelo; Feki, Kais; Some Refinements and Generalizations of Bohr’s Inequality; Multidisciplinary Digital Publishing Institute; Axioms; 13; 7; 6-2024; 1-122075-1680CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/2075-1680/13/7/436info:eu-repo/semantics/altIdentifier/doi/10.3390/axioms13070436info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:05:26Zoai:ri.conicet.gov.ar:11336/244825instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:05:26.567CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Some Refinements and Generalizations of Bohr’s Inequality |
title |
Some Refinements and Generalizations of Bohr’s Inequality |
spellingShingle |
Some Refinements and Generalizations of Bohr’s Inequality Aljawi, Salma Bohr’s inequality Bergström’s inequality Radon’s inequality |
title_short |
Some Refinements and Generalizations of Bohr’s Inequality |
title_full |
Some Refinements and Generalizations of Bohr’s Inequality |
title_fullStr |
Some Refinements and Generalizations of Bohr’s Inequality |
title_full_unstemmed |
Some Refinements and Generalizations of Bohr’s Inequality |
title_sort |
Some Refinements and Generalizations of Bohr’s Inequality |
dc.creator.none.fl_str_mv |
Aljawi, Salma Conde, Cristian Marcelo Feki, Kais |
author |
Aljawi, Salma |
author_facet |
Aljawi, Salma Conde, Cristian Marcelo Feki, Kais |
author_role |
author |
author2 |
Conde, Cristian Marcelo Feki, Kais |
author2_role |
author author |
dc.subject.none.fl_str_mv |
Bohr’s inequality Bergström’s inequality Radon’s inequality |
topic |
Bohr’s inequality Bergström’s inequality Radon’s inequality |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
In this article, we delve into the classic Bohr inequality for complex numbers, a fundamentalresult in complex analysis with broad mathematical applications. We offer refinements and generalizations of Bohr’s inequality, expanding on the established inequalities of N. G. de Bruijn and Radon, as well as leveraging the class of functions defined by the Daykin–Eliezer–Carlitz inequality. Our novel contribution lies in demonstrating that Bohr’s and Bergström’s inequalities can be derived from one another, revealing a deeper interconnectedness between these results. Furthermore, we present several new generalizations of Bohr’s inequality, along with other notable inequalities from theliterature, and discuss their various implications. By providing more comprehensive and verifiableconditions, our work extends previous research and enhances the understanding and applicability ofBohr’s inequality in mathematical studies. Fil: Aljawi, Salma. Princess Nourah bint Abdulrahman University; Arabia Saudita Fil: Conde, Cristian Marcelo. Area de Matematica (area de Matematica) ; Instituto de Ciencias ; Universidad Nacional de General Sarmiento; . Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina Fil: Feki, Kais. Najran University; Arabia Saudita |
description |
In this article, we delve into the classic Bohr inequality for complex numbers, a fundamentalresult in complex analysis with broad mathematical applications. We offer refinements and generalizations of Bohr’s inequality, expanding on the established inequalities of N. G. de Bruijn and Radon, as well as leveraging the class of functions defined by the Daykin–Eliezer–Carlitz inequality. Our novel contribution lies in demonstrating that Bohr’s and Bergström’s inequalities can be derived from one another, revealing a deeper interconnectedness between these results. Furthermore, we present several new generalizations of Bohr’s inequality, along with other notable inequalities from theliterature, and discuss their various implications. By providing more comprehensive and verifiableconditions, our work extends previous research and enhances the understanding and applicability ofBohr’s inequality in mathematical studies. |
publishDate |
2024 |
dc.date.none.fl_str_mv |
2024-06 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
format |
article |
status_str |
publishedVersion |
dc.identifier.none.fl_str_mv |
http://hdl.handle.net/11336/244825 Aljawi, Salma; Conde, Cristian Marcelo; Feki, Kais; Some Refinements and Generalizations of Bohr’s Inequality; Multidisciplinary Digital Publishing Institute; Axioms; 13; 7; 6-2024; 1-12 2075-1680 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/244825 |
identifier_str_mv |
Aljawi, Salma; Conde, Cristian Marcelo; Feki, Kais; Some Refinements and Generalizations of Bohr’s Inequality; Multidisciplinary Digital Publishing Institute; Axioms; 13; 7; 6-2024; 1-12 2075-1680 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/2075-1680/13/7/436 info:eu-repo/semantics/altIdentifier/doi/10.3390/axioms13070436 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
Multidisciplinary Digital Publishing Institute |
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Multidisciplinary Digital Publishing Institute |
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reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) |
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CONICET Digital (CONICET) |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
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dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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