Hermite-Hadamard weighted integral inequalities for (h,m)-convex modified functions

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, some new integral inequalities of the Hermite–Hadamard type are were obtained for (h,m)-convex modified functions. The results are obtained on the basis of the introduced definition of a generalized weighted integral operator by using the convexity property, the well-known H ̈older’s inequality and its modification. Some results existing in the literature are some special cases of our results.
Fuente
Fractional Differential Calculus, 2022, vol. 12, no. 2, p. 235-248.
Materia
Hermite-Hadamard type integral inequality
Hölder's integral inequality
Weighted integral operators
(h,m)-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:123456789/60061

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oai_identifier_str oai:repositorio.unne.edu.ar:123456789/60061
network_acronym_str RIUNNE
repository_id_str 4871
network_name_str Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
spelling Hermite-Hadamard weighted integral inequalities for (h,m)-convex modified functionsBayraktar, BahtiyarNápoles Valdés, Juan EduardoHermite-Hadamard type integral inequalityHölder's integral inequalityWeighted integral operators(h,m)-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, some new integral inequalities of the Hermite–Hadamard type are were obtained for (h,m)-convex modified functions. The results are obtained on the basis of the introduced definition of a generalized weighted integral operator by using the convexity property, the well-known H ̈older’s inequality and its modification. Some results existing in the literature are some special cases of our results.Element D.O.O.2022info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfp. 235-248application/pdfBayraktar, Bahtiyar y Nápoles Valdés, Juan Eduardo, 2022. Hermite-Hadamard weighted integral inequalities for (h,m)-convex modified functions. Fractional Differential Calculus. Zagreb: Element D.O.O., vol. 12, no. 2, p. 235-248. ISSN 1847‑9677.1847‑9677http://repositorio.unne.edu.ar/handle/123456789/60061Fractional Differential Calculus, 2022, vol. 12, no. 2, p. 235-248.reponame:Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)instname:Universidad Nacional del Nordesteengdx.doi.org/10.7153/fdc-2022-12-15info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/2.5/ar/Atribución-NoComercial-SinDerivadas 2.5 Argentina2026-02-26T14:06:12Zoai:repositorio.unne.edu.ar:123456789/60061instacron: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 14:06:12.89Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) - Universidad Nacional del Nordestefalse
dc.title.none.fl_str_mv Hermite-Hadamard weighted integral inequalities for (h,m)-convex modified functions
title Hermite-Hadamard weighted integral inequalities for (h,m)-convex modified functions
spellingShingle Hermite-Hadamard weighted integral inequalities for (h,m)-convex modified functions
Bayraktar, Bahtiyar
Hermite-Hadamard type integral inequality
Hölder's integral inequality
Weighted integral operators
(h,m)-convex modified functions
title_short Hermite-Hadamard weighted integral inequalities for (h,m)-convex modified functions
title_full Hermite-Hadamard weighted integral inequalities for (h,m)-convex modified functions
title_fullStr Hermite-Hadamard weighted integral inequalities for (h,m)-convex modified functions
title_full_unstemmed Hermite-Hadamard weighted integral inequalities for (h,m)-convex modified functions
title_sort Hermite-Hadamard weighted integral inequalities for (h,m)-convex modified functions
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 type integral inequality
Hölder's integral inequality
Weighted integral operators
(h,m)-convex modified functions
topic Hermite-Hadamard type integral inequality
Hölder's integral inequality
Weighted integral operators
(h,m)-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, some new integral inequalities of the Hermite–Hadamard type are were obtained for (h,m)-convex modified functions. The results are obtained on the basis of the introduced definition of a generalized weighted integral operator by using the convexity property, the well-known H ̈older’s inequality and its modification. Some results existing in the literature are some special cases of our results.
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. Hermite-Hadamard weighted integral inequalities for (h,m)-convex modified functions. Fractional Differential Calculus. Zagreb: Element D.O.O., vol. 12, no. 2, p. 235-248. ISSN 1847‑9677.
1847‑9677
http://repositorio.unne.edu.ar/handle/123456789/60061
identifier_str_mv Bayraktar, Bahtiyar y Nápoles Valdés, Juan Eduardo, 2022. Hermite-Hadamard weighted integral inequalities for (h,m)-convex modified functions. Fractional Differential Calculus. Zagreb: Element D.O.O., vol. 12, no. 2, p. 235-248. ISSN 1847‑9677.
1847‑9677
url http://repositorio.unne.edu.ar/handle/123456789/60061
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv dx.doi.org/10.7153/fdc-2022-12-15
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. 235-248
application/pdf
dc.publisher.none.fl_str_mv Element D.O.O.
publisher.none.fl_str_mv Element D.O.O.
dc.source.none.fl_str_mv Fractional Differential Calculus, 2022, vol. 12, no. 2, p. 235-248.
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