Necessary and sufficient conditions for interval-valued differentiability

This paper presents necessary and sufficient conditions for generalized Hukuhara differentiability of interval-valued functions and counterexamples of some equivalences previously presented in the literature, for which important results are based on. Moreover, applications of interval generalized Hu...

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Detalhes bibliográficos
Autores: Osuna Gómez, Rafaela, Mendonca da Costa, Tiago, Hernández Jiménez, Beatriz, Ruiz Garzón, Gabriel
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/180590
Acesso em linha:https://hdl.handle.net/11441/180590
https://doi.org/10.1002/mma.8647
Access Level:acceso abierto
Palavra-chave:Generalized Hukuhara differentiability
Interval analysis
Interval-valued functions
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spelling Necessary and sufficient conditions for interval-valued differentiabilityOsuna Gómez, RafaelaMendonca da Costa, TiagoHernández Jiménez, BeatrizRuiz Garzón, GabrielGeneralized Hukuhara differentiabilityInterval analysisInterval-valued functionsThis paper presents necessary and sufficient conditions for generalized Hukuhara differentiability of interval-valued functions and counterexamples of some equivalences previously presented in the literature, for which important results are based on. Moreover, applications of interval generalized Hukuhara differentiability are presented.WileyEstadística e Investigación Operativa2022info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/180590https://doi.org/10.1002/mma.8647reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésMathematical Methods in the Applied Sciences, 46 (2), 2319-2333.10.1002/mma.8647info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1805902026-06-17T12:51:07Z
dc.title.none.fl_str_mv Necessary and sufficient conditions for interval-valued differentiability
title Necessary and sufficient conditions for interval-valued differentiability
spellingShingle Necessary and sufficient conditions for interval-valued differentiability
Osuna Gómez, Rafaela
Generalized Hukuhara differentiability
Interval analysis
Interval-valued functions
title_short Necessary and sufficient conditions for interval-valued differentiability
title_full Necessary and sufficient conditions for interval-valued differentiability
title_fullStr Necessary and sufficient conditions for interval-valued differentiability
title_full_unstemmed Necessary and sufficient conditions for interval-valued differentiability
title_sort Necessary and sufficient conditions for interval-valued differentiability
dc.creator.none.fl_str_mv Osuna Gómez, Rafaela
Mendonca da Costa, Tiago
Hernández Jiménez, Beatriz
Ruiz Garzón, Gabriel
author Osuna Gómez, Rafaela
author_facet Osuna Gómez, Rafaela
Mendonca da Costa, Tiago
Hernández Jiménez, Beatriz
Ruiz Garzón, Gabriel
author_role author
author2 Mendonca da Costa, Tiago
Hernández Jiménez, Beatriz
Ruiz Garzón, Gabriel
author2_role author
author
author
dc.contributor.none.fl_str_mv Estadística e Investigación Operativa
dc.subject.none.fl_str_mv Generalized Hukuhara differentiability
Interval analysis
Interval-valued functions
topic Generalized Hukuhara differentiability
Interval analysis
Interval-valued functions
description This paper presents necessary and sufficient conditions for generalized Hukuhara differentiability of interval-valued functions and counterexamples of some equivalences previously presented in the literature, for which important results are based on. Moreover, applications of interval generalized Hukuhara differentiability are presented.
publishDate 2022
dc.date.none.fl_str_mv 2022
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 https://hdl.handle.net/11441/180590
https://doi.org/10.1002/mma.8647
url https://hdl.handle.net/11441/180590
https://doi.org/10.1002/mma.8647
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Mathematical Methods in the Applied Sciences, 46 (2), 2319-2333.
10.1002/mma.8647
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Wiley
publisher.none.fl_str_mv Wiley
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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