Some new Milne-type inequalities

Inequalities play a main role in pure and applied mathematics. In this paper, we prove a generalization of Milne inequality for any measure space. The argument in the proof of this inequality allows us to obtain other Milne-type inequalities. Also, we improve the discrete version of Milne inequality...

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Detalles Bibliográficos
Autores: Bosch, Paul, Rodríguez, José Manuel, Sigarreta, José M., Touris Lojo, Eva
Tipo de recurso: artículo
Fecha de publicación:2024
País:España
Institución:Universidad Autónoma de Madrid
Repositorio:Biblos-e Archivo. Repositorio Institucional de la UAM
Idioma:inglés
OAI Identifier:oai:repositorio.uam.es:10486/716641
Acceso en línea:http://hdl.handle.net/10486/716641
https://dx.doi.org/10.1186/s13660-024-03184-4
Access Level:acceso abierto
Palabra clave:Discrete Milne’s inequality
fractional integral inequalities
milne-type inequalities
26A33
26A51
26D15
Matemáticas
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spelling Some new Milne-type inequalitiesBosch, PaulRodríguez, José ManuelSigarreta, José M.Touris Lojo, EvaDiscrete Milne’s inequalityfractional integral inequalitiesmilne-type inequalities26A3326A5126D15MatemáticasInequalities play a main role in pure and applied mathematics. In this paper, we prove a generalization of Milne inequality for any measure space. The argument in the proof of this inequality allows us to obtain other Milne-type inequalities. Also, we improve the discrete version of Milne inequality, which holds for any positive value of the parameter p. Finally, we present a Milne-type inequality in the fractional contextThe research of José M. Rodríguez and José M. Sigarreta is supported by a grant from Agencia Estatal de Investigación (PID2019-106433GB-I00 / AEI / 10.13039/501100011033), Spain.The research of José M. Rodríguez is supported by the Madrid Government (Comunidad de Madrid-Spain) under the Multiannual Agreement with UC3M in the line of Excellence of University Professors (EPUC3M23), and in the context of the V PRICIT (Regional Programme of Research and Technological Innovation)Springer NatureDepartamento de MatemáticasFacultad de Ciencias20242024-08-23research articlehttp://purl.org/coar/resource_type/c_2df8fbb1VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10486/716641https://dx.doi.org/10.1186/s13660-024-03184-4reponame:Biblos-e Archivo. Repositorio Institucional de la UAMinstname:Universidad Autónoma de MadridInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:repositorio.uam.es:10486/7166412026-06-23T12:46:27Z
dc.title.none.fl_str_mv Some new Milne-type inequalities
title Some new Milne-type inequalities
spellingShingle Some new Milne-type inequalities
Bosch, Paul
Discrete Milne’s inequality
fractional integral inequalities
milne-type inequalities
26A33
26A51
26D15
Matemáticas
title_short Some new Milne-type inequalities
title_full Some new Milne-type inequalities
title_fullStr Some new Milne-type inequalities
title_full_unstemmed Some new Milne-type inequalities
title_sort Some new Milne-type inequalities
dc.creator.none.fl_str_mv Bosch, Paul
Rodríguez, José Manuel
Sigarreta, José M.
Touris Lojo, Eva
author Bosch, Paul
author_facet Bosch, Paul
Rodríguez, José Manuel
Sigarreta, José M.
Touris Lojo, Eva
author_role author
author2 Rodríguez, José Manuel
Sigarreta, José M.
Touris Lojo, Eva
author2_role author
author
author
dc.contributor.none.fl_str_mv Departamento de Matemáticas
Facultad de Ciencias
dc.subject.none.fl_str_mv Discrete Milne’s inequality
fractional integral inequalities
milne-type inequalities
26A33
26A51
26D15
Matemáticas
topic Discrete Milne’s inequality
fractional integral inequalities
milne-type inequalities
26A33
26A51
26D15
Matemáticas
description Inequalities play a main role in pure and applied mathematics. In this paper, we prove a generalization of Milne inequality for any measure space. The argument in the proof of this inequality allows us to obtain other Milne-type inequalities. Also, we improve the discrete version of Milne inequality, which holds for any positive value of the parameter p. Finally, we present a Milne-type inequality in the fractional context
publishDate 2024
dc.date.none.fl_str_mv 2024
2024-08-23
dc.type.none.fl_str_mv research article
http://purl.org/coar/resource_type/c_2df8fbb1
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10486/716641
https://dx.doi.org/10.1186/s13660-024-03184-4
url http://hdl.handle.net/10486/716641
https://dx.doi.org/10.1186/s13660-024-03184-4
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer Nature
publisher.none.fl_str_mv Springer Nature
dc.source.none.fl_str_mv reponame:Biblos-e Archivo. Repositorio Institucional de la UAM
instname:Universidad Autónoma de Madrid
instname_str Universidad Autónoma de Madrid
reponame_str Biblos-e Archivo. Repositorio Institucional de la UAM
collection Biblos-e Archivo. Repositorio Institucional de la UAM
repository.name.fl_str_mv
repository.mail.fl_str_mv
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