On Modified Integral Inequalities for a Generalized Class of Convexity and Applications

In this paper, we concentrate on and investigate the idea of a novel family of modified p-convex functions. We elaborate on some of this newly proposed idea’s attractive algebraic characteristics to support it. This is used to study some novel integral inequalities in the frame of the Hermite–Hadama...

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Autores: Srivastava, Hari Mohan, Tariq, Muhammad, Mohammed, Pshtiwan Othman, Alrweili, Hleil, Al-Sarairah, Eman, De la Sen Parte, Manuel
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/60100
Acceso en línea:http://hdl.handle.net/10810/60100
Access Level:acceso abierto
Palabra clave:convexity theory
p-convex function
m-convex function
Hermite–Hadamard inequality
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spelling On Modified Integral Inequalities for a Generalized Class of Convexity and ApplicationsSrivastava, Hari MohanTariq, MuhammadMohammed, Pshtiwan OthmanAlrweili, HleilAl-Sarairah, EmanDe la Sen Parte, Manuelconvexity theoryp-convex functionm-convex functionHermite–Hadamard inequalityIn this paper, we concentrate on and investigate the idea of a novel family of modified p-convex functions. We elaborate on some of this newly proposed idea’s attractive algebraic characteristics to support it. This is used to study some novel integral inequalities in the frame of the Hermite–Hadamard type. A unique equality is established for differentiable mappings. The Hermite–Hadamard inequality is extended and estimated in a number of new ways with the help of this equality to strengthen the findings. Finally, we investigate and explore some applications for some special functions. We think the approach examined in this work will further pique the interest of curious researchers.MDPI2023202320232023info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10810/60100reponame:Addi. Archivo Digital para la Docencia y la Investigacióninstname:Universidad del País VascoIngléshttps://www.mdpi.com/2075-1680/12/2/162info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/© 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/ 4.0/).oai:addi.ehu.eus:10810/601002026-06-18T09:23:17Z
dc.title.none.fl_str_mv On Modified Integral Inequalities for a Generalized Class of Convexity and Applications
title On Modified Integral Inequalities for a Generalized Class of Convexity and Applications
spellingShingle On Modified Integral Inequalities for a Generalized Class of Convexity and Applications
Srivastava, Hari Mohan
convexity theory
p-convex function
m-convex function
Hermite–Hadamard inequality
title_short On Modified Integral Inequalities for a Generalized Class of Convexity and Applications
title_full On Modified Integral Inequalities for a Generalized Class of Convexity and Applications
title_fullStr On Modified Integral Inequalities for a Generalized Class of Convexity and Applications
title_full_unstemmed On Modified Integral Inequalities for a Generalized Class of Convexity and Applications
title_sort On Modified Integral Inequalities for a Generalized Class of Convexity and Applications
dc.creator.none.fl_str_mv Srivastava, Hari Mohan
Tariq, Muhammad
Mohammed, Pshtiwan Othman
Alrweili, Hleil
Al-Sarairah, Eman
De la Sen Parte, Manuel
author Srivastava, Hari Mohan
author_facet Srivastava, Hari Mohan
Tariq, Muhammad
Mohammed, Pshtiwan Othman
Alrweili, Hleil
Al-Sarairah, Eman
De la Sen Parte, Manuel
author_role author
author2 Tariq, Muhammad
Mohammed, Pshtiwan Othman
Alrweili, Hleil
Al-Sarairah, Eman
De la Sen Parte, Manuel
author2_role author
author
author
author
author
dc.subject.none.fl_str_mv convexity theory
p-convex function
m-convex function
Hermite–Hadamard inequality
topic convexity theory
p-convex function
m-convex function
Hermite–Hadamard inequality
description In this paper, we concentrate on and investigate the idea of a novel family of modified p-convex functions. We elaborate on some of this newly proposed idea’s attractive algebraic characteristics to support it. This is used to study some novel integral inequalities in the frame of the Hermite–Hadamard type. A unique equality is established for differentiable mappings. The Hermite–Hadamard inequality is extended and estimated in a number of new ways with the help of this equality to strengthen the findings. Finally, we investigate and explore some applications for some special functions. We think the approach examined in this work will further pique the interest of curious researchers.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023
2023
2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10810/60100
url http://hdl.handle.net/10810/60100
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://www.mdpi.com/2075-1680/12/2/162
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:Addi. Archivo Digital para la Docencia y la Investigación
instname:Universidad del País Vasco
instname_str Universidad del País Vasco
reponame_str Addi. Archivo Digital para la Docencia y la Investigación
collection Addi. Archivo Digital para la Docencia y la Investigación
repository.name.fl_str_mv
repository.mail.fl_str_mv
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