Some integral inequalities for approximately h-convex functions and their applications

Abstract In this paper, by applying the new and improved form of Hölder’s integral inequality called Hölder-Íşcan integral inequality three inequalities of Hermite-Hadamard and Hadamard integral type for (h, d)-convex functions have been established. Various special cases includin...

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Autores principales:	Kashuri,Artion, Raees,Muhammad, Anwar,Matloob
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2021
Materias:	Hermite-Hadamard inequality Hölder-Íşcan inequality Convexity, Numerical integration
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000200481
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spelling	oai:scielo:S0716-091720210002004812021-04-03Some integral inequalities for approximately h-convex functions and their applicationsKashuri,ArtionRaees,MuhammadAnwar,Matloob Hermite-Hadamard inequality Hölder-Íşcan inequality Convexity, Numerical integration Abstract In this paper, by applying the new and improved form of Hölder’s integral inequality called Hölder-Íşcan integral inequality three inequalities of Hermite-Hadamard and Hadamard integral type for (h, d)-convex functions have been established. Various special cases including classes for instance, h-convex, s-convex function of Breckner and Godunova-Levin-Dragomir and strong versions of the aforementioned types of convex functions have been identified. Some applications to error estimations of presented results have been analyzed. At the end, a briefly conclusion is given.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.40 n.2 20212021-04-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000200481en10.22199/issn.0717-6279-2021-02-0028
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Hermite-Hadamard inequality Hölder-Íşcan inequality Convexity, Numerical integration
spellingShingle	Hermite-Hadamard inequality Hölder-Íşcan inequality Convexity, Numerical integration Kashuri,Artion Raees,Muhammad Anwar,Matloob Some integral inequalities for approximately h-convex functions and their applications
description	Abstract In this paper, by applying the new and improved form of Hölder’s integral inequality called Hölder-Íşcan integral inequality three inequalities of Hermite-Hadamard and Hadamard integral type for (h, d)-convex functions have been established. Various special cases including classes for instance, h-convex, s-convex function of Breckner and Godunova-Levin-Dragomir and strong versions of the aforementioned types of convex functions have been identified. Some applications to error estimations of presented results have been analyzed. At the end, a briefly conclusion is given.
author	Kashuri,Artion Raees,Muhammad Anwar,Matloob
author_facet	Kashuri,Artion Raees,Muhammad Anwar,Matloob
author_sort	Kashuri,Artion
title	Some integral inequalities for approximately h-convex functions and their applications
title_short	Some integral inequalities for approximately h-convex functions and their applications
title_full	Some integral inequalities for approximately h-convex functions and their applications
title_fullStr	Some integral inequalities for approximately h-convex functions and their applications
title_full_unstemmed	Some integral inequalities for approximately h-convex functions and their applications
title_sort	some integral inequalities for approximately h-convex functions and their applications
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2021
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000200481
work_keys_str_mv	AT kashuriartion someintegralinequalitiesforapproximatelyhconvexfunctionsandtheirapplications AT raeesmuhammad someintegralinequalitiesforapproximatelyhconvexfunctionsandtheirapplications AT anwarmatloob someintegralinequalitiesforapproximatelyhconvexfunctionsandtheirapplications
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Some integral inequalities for approximately h-convex functions and their applications

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