Some new Jensen–Mercer type integral inequalities are established via fractional operators

Autores
Bayraktar, Bahtiyar; Kórus, Péter; Nápoles Valdés, Juan Eduardo
Año de publicación
2023
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Fil: Bayraktar, Bahtiyar. Universidad de Bursa Uludağ. Facultad de Educación; Turkia.
Fil: Kórus, Péter. University of Szeged. Juhász Gyula Faculty of Education; Hungría.
Fil: Nápoles Valdés, Juan Eduardo. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; Argentina.
In this study, we present new variants of the Hermite–Hadamard inequality via non-conformable fractional integrals. These inequalities are proven for convex functions and differentiable functions whose derivatives in absolute value are generally convex. Our main results are established using the classical Jensen–Mercer inequality and its variants for (ℎ,) -convex modified functions proven in this paper. In addition to showing that our results support previously known results from the literature, we provide examples of their application.
Fuente
Axioms, 2023, vol. 12, no. 6, p. 1-17.
Materia
Convex functions
(h, m)-convex functions
Jensen–Mercer inequality
Hermite–Hadamard inequality
Hölder inequality
Power mean inequality
Non-conformable fractional operators
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:123456789/60058
Acceder
id RIUNNE_be32872480e2ca3163bee17645089bbf
oai_identifier_str oai:repositorio.unne.edu.ar:123456789/60058
network_acronym_str RIUNNE
repository_id_str 4871
network_name_str Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
spelling Some new Jensen–Mercer type integral inequalities are established via fractional operatorsBayraktar, BahtiyarKórus, PéterNápoles Valdés, Juan EduardoConvex functions(h, m)-convex functionsJensen–Mercer inequalityHermite–Hadamard inequalityHölder inequalityPower mean inequalityNon-conformable fractional operatorsFil: Bayraktar, Bahtiyar. Universidad de Bursa Uludağ. Facultad de Educación; Turkia.Fil: Kórus, Péter. University of Szeged. Juhász Gyula Faculty of Education; Hungría.Fil: Nápoles Valdés, Juan Eduardo. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; Argentina.In this study, we present new variants of the Hermite–Hadamard inequality via non-conformable fractional integrals. These inequalities are proven for convex functions and differentiable functions whose derivatives in absolute value are generally convex. Our main results are established using the classical Jensen–Mercer inequality and its variants for (ℎ,) -convex modified functions proven in this paper. In addition to showing that our results support previously known results from the literature, we provide examples of their application.MDPI AG2023info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfp. 1-17application/pdfBayraktar, Bahtiyar, Kórus, Péter y Nápoles Valdés, Juan Eduardo, 2023. Some new Jensen–Mercer type integral inequalities are established via fractional operators. Axioms. Basel: MDPI AG, vol. 12, no. 6, p. 1-17. ISSN 2075-1680.2075-1680http://repositorio.unne.edu.ar/handle/123456789/60058Axioms, 2023, vol. 12, no. 6, p. 1-17.reponame:Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)instname:Universidad Nacional del Nordesteenghttps://doi.org/10.3390/axioms12060517info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/2.5/ar/Atribución-NoComercial-SinDerivadas 2.5 Argentina2026-02-26T14:07:32Zoai:repositorio.unne.edu.ar:123456789/60058instacron: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 14:07:32.721Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) - Universidad Nacional del Nordestefalse
dc.title.none.fl_str_mv Some new Jensen–Mercer type integral inequalities are established via fractional operators
title Some new Jensen–Mercer type integral inequalities are established via fractional operators
spellingShingle Some new Jensen–Mercer type integral inequalities are established via fractional operators
Bayraktar, Bahtiyar
Convex functions
(h, m)-convex functions
Jensen–Mercer inequality
Hermite–Hadamard inequality
Hölder inequality
Power mean inequality
Non-conformable fractional operators
title_short Some new Jensen–Mercer type integral inequalities are established via fractional operators
title_full Some new Jensen–Mercer type integral inequalities are established via fractional operators
title_fullStr Some new Jensen–Mercer type integral inequalities are established via fractional operators
title_full_unstemmed Some new Jensen–Mercer type integral inequalities are established via fractional operators
title_sort Some new Jensen–Mercer type integral inequalities are established via fractional operators
dc.creator.none.fl_str_mv Bayraktar, Bahtiyar
Kórus, Péter
Nápoles Valdés, Juan Eduardo
author Bayraktar, Bahtiyar
author_facet Bayraktar, Bahtiyar
Kórus, Péter
Nápoles Valdés, Juan Eduardo
author_role author
author2 Kórus, Péter
Nápoles Valdés, Juan Eduardo
author2_role author
author
dc.subject.none.fl_str_mv Convex functions
(h, m)-convex functions
Jensen–Mercer inequality
Hermite–Hadamard inequality
Hölder inequality
Power mean inequality
Non-conformable fractional operators
topic Convex functions
(h, m)-convex functions
Jensen–Mercer inequality
Hermite–Hadamard inequality
Hölder inequality
Power mean inequality
Non-conformable fractional operators
dc.description.none.fl_txt_mv Fil: Bayraktar, Bahtiyar. Universidad de Bursa Uludağ. Facultad de Educación; Turkia.
Fil: Kórus, Péter. University of Szeged. Juhász Gyula Faculty of Education; Hungría.
Fil: Nápoles Valdés, Juan Eduardo. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; Argentina.
In this study, we present new variants of the Hermite–Hadamard inequality via non-conformable fractional integrals. These inequalities are proven for convex functions and differentiable functions whose derivatives in absolute value are generally convex. Our main results are established using the classical Jensen–Mercer inequality and its variants for (ℎ,) -convex modified functions proven in this paper. In addition to showing that our results support previously known results from the literature, we provide examples of their application.
description Fil: Bayraktar, Bahtiyar. Universidad de Bursa Uludağ. Facultad de Educación; Turkia.
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 Bayraktar, Bahtiyar, Kórus, Péter y Nápoles Valdés, Juan Eduardo, 2023. Some new Jensen–Mercer type integral inequalities are established via fractional operators. Axioms. Basel: MDPI AG, vol. 12, no. 6, p. 1-17. ISSN 2075-1680.
2075-1680
http://repositorio.unne.edu.ar/handle/123456789/60058
identifier_str_mv Bayraktar, Bahtiyar, Kórus, Péter y Nápoles Valdés, Juan Eduardo, 2023. Some new Jensen–Mercer type integral inequalities are established via fractional operators. Axioms. Basel: MDPI AG, vol. 12, no. 6, p. 1-17. ISSN 2075-1680.
2075-1680
url http://repositorio.unne.edu.ar/handle/123456789/60058
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://doi.org/10.3390/axioms12060517
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. 1-17
application/pdf
dc.publisher.none.fl_str_mv MDPI AG
publisher.none.fl_str_mv MDPI AG
dc.source.none.fl_str_mv Axioms, 2023, vol. 12, no. 6, p. 1-17.
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_ 1858211294740480000
score 13.176822

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