New Jensen-type integral inequalities via modified (h, m)-convexity and their applications

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.
This article presents new developments and applications of Jensen’s inequality. We explore various variations of Jensen’s inequality related to modified (h, m)-convex functions. The obtained results extend the applicability of the inequality to a broader class of functions and contexts. In addition to the fact that the results presented in the article provide additional results available in the literature, we also give examples of their application.
Fuente
Acta Mathematica Universitatis Comenianae, 2023, vol. XCII, no. 3, p. 213-223.
Materia
Convex function
Modified (h, m)-convexity
Jensen’s inequality
Hermite–Hadamard inequality
Hölder’s inequality
Power mean inequality
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:123456789/60059
Acceder
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oai_identifier_str oai:repositorio.unne.edu.ar:123456789/60059
network_acronym_str RIUNNE
repository_id_str 4871
network_name_str Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
spelling New Jensen-type integral inequalities via modified (h, m)-convexity and their applicationsBayraktar, BahtiyarKórus, PéterNápoles Valdés, Juan EduardoConvex functionModified (h, m)-convexityJensen’s inequalityHermite–Hadamard inequalityHölder’s inequalityPower mean inequalityFil: 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.This article presents new developments and applications of Jensen’s inequality. We explore various variations of Jensen’s inequality related to modified (h, m)-convex functions. The obtained results extend the applicability of the inequality to a broader class of functions and contexts. In addition to the fact that the results presented in the article provide additional results available in the literature, we also give examples of their application.Universidad Comenius2023info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfp. 213-223application/pdfBayraktar, Bahtiyar, Kórus, Péter y Nápoles Valdés, Juan Eduardo, 2023. New Jensen-type integral inequalities via modified (h, m)-convexity and their applications. Acta Mathematica Universitatis Comenianae. Bratislava: Universidad Comenius, vol. XCII, no. 3, p. 213-223. ISSN 0862-9544.0862-9544http://repositorio.unne.edu.ar/handle/123456789/60059Acta Mathematica Universitatis Comenianae, 2023, vol. XCII, no. 3, p. 213-223.reponame:Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)instname:Universidad Nacional del Nordesteenghttp://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/2001info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/2.5/ar/Atribución-NoComercial-SinDerivadas 2.5 Argentina2026-02-26T14:06:17Zoai:repositorio.unne.edu.ar:123456789/60059instacron: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 14:06:17.588Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) - Universidad Nacional del Nordestefalse
dc.title.none.fl_str_mv New Jensen-type integral inequalities via modified (h, m)-convexity and their applications
title New Jensen-type integral inequalities via modified (h, m)-convexity and their applications
spellingShingle New Jensen-type integral inequalities via modified (h, m)-convexity and their applications
Bayraktar, Bahtiyar
Convex function
Modified (h, m)-convexity
Jensen’s inequality
Hermite–Hadamard inequality
Hölder’s inequality
Power mean inequality
title_short New Jensen-type integral inequalities via modified (h, m)-convexity and their applications
title_full New Jensen-type integral inequalities via modified (h, m)-convexity and their applications
title_fullStr New Jensen-type integral inequalities via modified (h, m)-convexity and their applications
title_full_unstemmed New Jensen-type integral inequalities via modified (h, m)-convexity and their applications
title_sort New Jensen-type integral inequalities via modified (h, m)-convexity and their applications
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 function
Modified (h, m)-convexity
Jensen’s inequality
Hermite–Hadamard inequality
Hölder’s inequality
Power mean inequality
topic Convex function
Modified (h, m)-convexity
Jensen’s inequality
Hermite–Hadamard inequality
Hölder’s inequality
Power mean inequality
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.
This article presents new developments and applications of Jensen’s inequality. We explore various variations of Jensen’s inequality related to modified (h, m)-convex functions. The obtained results extend the applicability of the inequality to a broader class of functions and contexts. In addition to the fact that the results presented in the article provide additional results available in the literature, we also give 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. New Jensen-type integral inequalities via modified (h, m)-convexity and their applications. Acta Mathematica Universitatis Comenianae. Bratislava: Universidad Comenius, vol. XCII, no. 3, p. 213-223. ISSN 0862-9544.
0862-9544
http://repositorio.unne.edu.ar/handle/123456789/60059
identifier_str_mv Bayraktar, Bahtiyar, Kórus, Péter y Nápoles Valdés, Juan Eduardo, 2023. New Jensen-type integral inequalities via modified (h, m)-convexity and their applications. Acta Mathematica Universitatis Comenianae. Bratislava: Universidad Comenius, vol. XCII, no. 3, p. 213-223. ISSN 0862-9544.
0862-9544
url http://repositorio.unne.edu.ar/handle/123456789/60059
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/2001
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. 213-223
application/pdf
dc.publisher.none.fl_str_mv Universidad Comenius
publisher.none.fl_str_mv Universidad Comenius
dc.source.none.fl_str_mv Acta Mathematica Universitatis Comenianae, 2023, vol. XCII, no. 3, p. 213-223.
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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