Integral inequalities for mappings whose derivatives are (h, m, s)−convex modified of second type via Katugampola integrals

Autores
Bayraktar, Bahtiyar; Nápoles Valdés, Juan Eduardo
Año de publicación
2022
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Fil: Bayraktar, Bahtiyar. Universidad de Bursa Uludağ. Facultad de Educación; Turkia.
Fil: Nápoles Valdés, Juan Eduardo. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; Argentina.
In this paper, using the definition of functions (h,m,s)-convex modified of second type, various extensions of the classic Hermite-Hadamard Inequality are obtained using Katugampola integrals. In addition, we show that several results known are particular cases of ours.
Fuente
Annals of the University of Craiova, Mathematics and Computer Science Series, 2022, vol. 49, no. 2, p. 371-383.
Materia
Hermite-Hadamard integral inequality
Katugampola fractional integral
(h, m, s)−convex modified functions
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
Institución
Universidad Nacional del Nordeste
OAI Identificador
oai:repositorio.unne.edu.ar:123456789/60048
Acceder
id RIUNNE_f5a715fa332aed0f6bfa4f4c766747dd
oai_identifier_str oai:repositorio.unne.edu.ar:123456789/60048
network_acronym_str RIUNNE
repository_id_str 4871
network_name_str Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
spelling Integral inequalities for mappings whose derivatives are (h, m, s)−convex modified of second type via Katugampola integralsBayraktar, BahtiyarNápoles Valdés, Juan EduardoHermite-Hadamard integral inequalityKatugampola fractional integral(h, m, s)−convex modified functionsFil: Bayraktar, Bahtiyar. Universidad de Bursa Uludağ. Facultad de Educación; Turkia.Fil: Nápoles Valdés, Juan Eduardo. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; Argentina.In this paper, using the definition of functions (h,m,s)-convex modified of second type, various extensions of the classic Hermite-Hadamard Inequality are obtained using Katugampola integrals. In addition, we show that several results known are particular cases of ours.Universidad de Craiova. Departamentos de Matemáticas y de Ciencias de la Computación2022info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfp. 371-383application/pdfBayraktar, Bahtiyar y Nápoles Valdés, Juan Eduardo, 2022. Integral inequalities for mappings whose derivatives are (h, m, s)−convex modified of second type via Katugampola integrals. Annals of the University of Craiova, Mathematics and Computer Science Series. Craiova: Universidad de Craiova. Departamentos de Matemáticas y de Ciencias de la Computación, vol. 49, no. 2, p. 371-383. E-ISSN 2246-9958.1223-6934http://repositorio.unne.edu.ar/handle/123456789/60048Annals of the University of Craiova, Mathematics and Computer Science Series, 2022, vol. 49, no. 2, p. 371-383.reponame:Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)instname:Universidad Nacional del Nordesteenghttps://doi.org/10.52846/ami.v49i2.1596http://inf.ucv.ro/~ami/index.php/ami/article/view/1596info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/2.5/ar/Atribución-NoComercial-SinDerivadas 2.5 Argentina2026-02-26T14:06:31Zoai:repositorio.unne.edu.ar:123456789/60048instacron:UNNEInstitucionalhttp://repositorio.unne.edu.ar/Universidad públicaNo correspondehttp://repositorio.unne.edu.ar/oaiososa@bib.unne.edu.ar;sergio.alegria@unne.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:48712026-02-26 14:06:31.384Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) - Universidad Nacional del Nordestefalse
dc.title.none.fl_str_mv Integral inequalities for mappings whose derivatives are (h, m, s)−convex modified of second type via Katugampola integrals
title Integral inequalities for mappings whose derivatives are (h, m, s)−convex modified of second type via Katugampola integrals
spellingShingle Integral inequalities for mappings whose derivatives are (h, m, s)−convex modified of second type via Katugampola integrals
Bayraktar, Bahtiyar
Hermite-Hadamard integral inequality
Katugampola fractional integral
(h, m, s)−convex modified functions
title_short Integral inequalities for mappings whose derivatives are (h, m, s)−convex modified of second type via Katugampola integrals
title_full Integral inequalities for mappings whose derivatives are (h, m, s)−convex modified of second type via Katugampola integrals
title_fullStr Integral inequalities for mappings whose derivatives are (h, m, s)−convex modified of second type via Katugampola integrals
title_full_unstemmed Integral inequalities for mappings whose derivatives are (h, m, s)−convex modified of second type via Katugampola integrals
title_sort Integral inequalities for mappings whose derivatives are (h, m, s)−convex modified of second type via Katugampola integrals
dc.creator.none.fl_str_mv Bayraktar, Bahtiyar
Nápoles Valdés, Juan Eduardo
author Bayraktar, Bahtiyar
author_facet Bayraktar, Bahtiyar
Nápoles Valdés, Juan Eduardo
author_role author
author2 Nápoles Valdés, Juan Eduardo
author2_role author
dc.subject.none.fl_str_mv Hermite-Hadamard integral inequality
Katugampola fractional integral
(h, m, s)−convex modified functions
topic Hermite-Hadamard integral inequality
Katugampola fractional integral
(h, m, s)−convex modified functions
dc.description.none.fl_txt_mv Fil: Bayraktar, Bahtiyar. Universidad de Bursa Uludağ. Facultad de Educación; Turkia.
Fil: Nápoles Valdés, Juan Eduardo. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; Argentina.
In this paper, using the definition of functions (h,m,s)-convex modified of second type, various extensions of the classic Hermite-Hadamard Inequality are obtained using Katugampola integrals. In addition, we show that several results known are particular cases of ours.
description Fil: Bayraktar, Bahtiyar. Universidad de Bursa Uludağ. Facultad de Educación; Turkia.
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
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv Bayraktar, Bahtiyar y Nápoles Valdés, Juan Eduardo, 2022. Integral inequalities for mappings whose derivatives are (h, m, s)−convex modified of second type via Katugampola integrals. Annals of the University of Craiova, Mathematics and Computer Science Series. Craiova: Universidad de Craiova. Departamentos de Matemáticas y de Ciencias de la Computación, vol. 49, no. 2, p. 371-383. E-ISSN 2246-9958.
1223-6934
http://repositorio.unne.edu.ar/handle/123456789/60048
identifier_str_mv Bayraktar, Bahtiyar y Nápoles Valdés, Juan Eduardo, 2022. Integral inequalities for mappings whose derivatives are (h, m, s)−convex modified of second type via Katugampola integrals. Annals of the University of Craiova, Mathematics and Computer Science Series. Craiova: Universidad de Craiova. Departamentos de Matemáticas y de Ciencias de la Computación, vol. 49, no. 2, p. 371-383. E-ISSN 2246-9958.
1223-6934
url http://repositorio.unne.edu.ar/handle/123456789/60048
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://doi.org/10.52846/ami.v49i2.1596
http://inf.ucv.ro/~ami/index.php/ami/article/view/1596
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Atribución-NoComercial-SinDerivadas 2.5 Argentina
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Atribución-NoComercial-SinDerivadas 2.5 Argentina
dc.format.none.fl_str_mv application/pdf
p. 371-383
application/pdf
dc.publisher.none.fl_str_mv Universidad de Craiova. Departamentos de Matemáticas y de Ciencias de la Computación
publisher.none.fl_str_mv Universidad de Craiova. Departamentos de Matemáticas y de Ciencias de la Computación
dc.source.none.fl_str_mv Annals of the University of Craiova, Mathematics and Computer Science Series, 2022, vol. 49, no. 2, p. 371-383.
reponame:Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
instname:Universidad Nacional del Nordeste
reponame_str Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
collection Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
instname_str Universidad Nacional del Nordeste
repository.name.fl_str_mv Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) - Universidad Nacional del Nordeste
repository.mail.fl_str_mv ososa@bib.unne.edu.ar;sergio.alegria@unne.edu.ar
_version_ 1858211263872499712
score 13.176822

Publicaciones similares