Some new inequalities of Hermite−Hadamard type via Katugampola fractional integral

Autores
Butt, Saad Ihsan; Bayraktar, Bahtiyar; Nápoles Valdés, Juan Eduardo
Año de publicación
2023
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Fil: Butt, Saad Ihsan. COMSATS University Islamabad. Departamento de Matemáticas; Pakistán.
Fil: Bayraktar, Bahtiyar. Universidad Bursa Uludag. Facultad de Educación en Matemáticas y Ciencias; Turquía.
Fil: Nápoles Valdés, Juan Eduardo. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; Argentina.
Fil: Nápoles Valdés, Juan Eduardo. Universidad Tecnológica Nacional. Facultad Regional Resistencia; Argentina.
In this study, we present the midpoint and trapezoid inequali- ties for an F−convex function in terms of Katugampola fractional integral operators. We obtained new results involving Katugampola-fractional in- tegral operators for differentiable mapping φ whose second derivatives in the absolute values are F−convex. Also established connections between our results with several renowned results in literature. Results proved in this paper may stimulate further research in this area.
Fuente
Punjab University Journal of Mathematics, 2023, vol. 55, no. 7-8, p. 269-289.
Materia
Hermite–Hadamard inequality
F−convex function
Young inequality
Hölder’s inequality
power mean inequality
Katugampola fractional integral
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:123456789/60012
Acceder
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oai_identifier_str oai:repositorio.unne.edu.ar:123456789/60012
network_acronym_str RIUNNE
repository_id_str 4871
network_name_str Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
spelling Some new inequalities of Hermite−Hadamard type via Katugampola fractional integralButt, Saad IhsanBayraktar, BahtiyarNápoles Valdés, Juan EduardoHermite–Hadamard inequalityF−convex functionYoung inequalityHölder’s inequalitypower mean inequalityKatugampola fractional integralFil: Butt, Saad Ihsan. COMSATS University Islamabad. Departamento de Matemáticas; Pakistán.Fil: Bayraktar, Bahtiyar. Universidad Bursa Uludag. Facultad de Educación en Matemáticas y Ciencias; Turquía.Fil: Nápoles Valdés, Juan Eduardo. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; Argentina.Fil: Nápoles Valdés, Juan Eduardo. Universidad Tecnológica Nacional. Facultad Regional Resistencia; Argentina.In this study, we present the midpoint and trapezoid inequali- ties for an F−convex function in terms of Katugampola fractional integral operators. We obtained new results involving Katugampola-fractional in- tegral operators for differentiable mapping φ whose second derivatives in the absolute values are F−convex. Also established connections between our results with several renowned results in literature. Results proved in this paper may stimulate further research in this area.Universidad del Punjab. Instituto de matemática2023info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfp. 269-289application/pdfButt, Saad Ihsan, Bayraktar, Bahtiyar y Nápoles Valdés, Juan Eduardo, 2023. Some new inequalities of Hermite−Hadamard type via Katugampola fractional integral. Punjab University Journal of Mathematics. Lahore: Universidad del Punjab. Instituto de matemática, vol. 55, no. 7-8, p. 269-289. E-ISSN 1016-2526. DOI https://doi.org/10.52280/pujm.2023.55(7-8)02http://repositorio.unne.edu.ar/handle/123456789/60012Punjab University Journal of Mathematics, 2023, vol. 55, no. 7-8, p. 269-289.reponame:Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)instname:Universidad Nacional del Nordesteenghttps://doi.org/10.52280/pujm.2023.55(7-8)02info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/2.5/ar/Atribución-NoComercial-SinDerivadas 2.5 Argentina2026-02-26T14:07:35Zoai:repositorio.unne.edu.ar:123456789/60012instacron: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 14:07:35.586Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) - Universidad Nacional del Nordestefalse
dc.title.none.fl_str_mv Some new inequalities of Hermite−Hadamard type via Katugampola fractional integral
title Some new inequalities of Hermite−Hadamard type via Katugampola fractional integral
spellingShingle Some new inequalities of Hermite−Hadamard type via Katugampola fractional integral
Butt, Saad Ihsan
Hermite–Hadamard inequality
F−convex function
Young inequality
Hölder’s inequality
power mean inequality
Katugampola fractional integral
title_short Some new inequalities of Hermite−Hadamard type via Katugampola fractional integral
title_full Some new inequalities of Hermite−Hadamard type via Katugampola fractional integral
title_fullStr Some new inequalities of Hermite−Hadamard type via Katugampola fractional integral
title_full_unstemmed Some new inequalities of Hermite−Hadamard type via Katugampola fractional integral
title_sort Some new inequalities of Hermite−Hadamard type via Katugampola fractional integral
dc.creator.none.fl_str_mv Butt, Saad Ihsan
Bayraktar, Bahtiyar
Nápoles Valdés, Juan Eduardo
author Butt, Saad Ihsan
author_facet Butt, Saad Ihsan
Bayraktar, Bahtiyar
Nápoles Valdés, Juan Eduardo
author_role author
author2 Bayraktar, Bahtiyar
Nápoles Valdés, Juan Eduardo
author2_role author
author
dc.subject.none.fl_str_mv Hermite–Hadamard inequality
F−convex function
Young inequality
Hölder’s inequality
power mean inequality
Katugampola fractional integral
topic Hermite–Hadamard inequality
F−convex function
Young inequality
Hölder’s inequality
power mean inequality
Katugampola fractional integral
dc.description.none.fl_txt_mv Fil: Butt, Saad Ihsan. COMSATS University Islamabad. Departamento de Matemáticas; Pakistán.
Fil: Bayraktar, Bahtiyar. Universidad Bursa Uludag. Facultad de Educación en Matemáticas y Ciencias; Turquía.
Fil: Nápoles Valdés, Juan Eduardo. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; Argentina.
Fil: Nápoles Valdés, Juan Eduardo. Universidad Tecnológica Nacional. Facultad Regional Resistencia; Argentina.
In this study, we present the midpoint and trapezoid inequali- ties for an F−convex function in terms of Katugampola fractional integral operators. We obtained new results involving Katugampola-fractional in- tegral operators for differentiable mapping φ whose second derivatives in the absolute values are F−convex. Also established connections between our results with several renowned results in literature. Results proved in this paper may stimulate further research in this area.
description Fil: Butt, Saad Ihsan. COMSATS University Islamabad. Departamento de Matemáticas; Pakistán.
publishDate 2023
dc.date.none.fl_str_mv 2023
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 Butt, Saad Ihsan, Bayraktar, Bahtiyar y Nápoles Valdés, Juan Eduardo, 2023. Some new inequalities of Hermite−Hadamard type via Katugampola fractional integral. Punjab University Journal of Mathematics. Lahore: Universidad del Punjab. Instituto de matemática, vol. 55, no. 7-8, p. 269-289. E-ISSN 1016-2526. DOI https://doi.org/10.52280/pujm.2023.55(7-8)02
http://repositorio.unne.edu.ar/handle/123456789/60012
identifier_str_mv Butt, Saad Ihsan, Bayraktar, Bahtiyar y Nápoles Valdés, Juan Eduardo, 2023. Some new inequalities of Hermite−Hadamard type via Katugampola fractional integral. Punjab University Journal of Mathematics. Lahore: Universidad del Punjab. Instituto de matemática, vol. 55, no. 7-8, p. 269-289. E-ISSN 1016-2526. DOI https://doi.org/10.52280/pujm.2023.55(7-8)02
url http://repositorio.unne.edu.ar/handle/123456789/60012
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://doi.org/10.52280/pujm.2023.55(7-8)02
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. 269-289
application/pdf
dc.publisher.none.fl_str_mv Universidad del Punjab. Instituto de matemática
publisher.none.fl_str_mv Universidad del Punjab. Instituto de matemática
dc.source.none.fl_str_mv Punjab University Journal of Mathematics, 2023, vol. 55, no. 7-8, p. 269-289.
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
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score 13.176822

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