Some refinements of the Hermite–Hadamard inequality with the help of weighted integrals

By using the definition of modified (h, m, s)-convex functions of the second type, we present various refinements of the classical Hermite–Hadamard inequality obtained within the framework of weighted integrals. Throughout the paper, we show that various known results available from the literature...

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Autores principales: Bayraktar, Bahtiyar, Nápoles Valdés, Juan Eduardo, Rabossi, Florencia
Formato: Artículo
Lenguaje:Inglés
Publicado: National Academy of Sciences of Ukraine. Institute of Mathematics 2026
Materias:
Hermite-Hadamard integral inequality
Integral operators weighted
(h,m)-convex modified functions
Acceso en línea:http://repositorio.unne.edu.ar/handle/123456789/60049
Aporte de:
RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) de Universidad Nacional del Nordeste
id I48-R184-123456789-60049
record_format dspace
spelling I48-R184-123456789-600492026-02-13T10:02:32Z Some refinements of the Hermite–Hadamard inequality with the help of weighted integrals Bayraktar, Bahtiyar Nápoles Valdés, Juan Eduardo Rabossi, Florencia Hermite-Hadamard integral inequality Integral operators weighted (h,m)-convex modified functions By using the definition of modified (h, m, s)-convex functions of the second type, we present various refinements of the classical Hermite–Hadamard inequality obtained within the framework of weighted integrals. Throughout the paper, we show that various known results available from the literature can be obtained as particular cases of our results. 2026-02-12T20:05:12Z 2026-02-12T20:05:12Z 2023 Artículo Bayraktar, Bahtiyar, Nápoles Valdés, Juan Eduardo y Rabossi, Florencia, 2023. Some refinements of the Hermite–Hadamard inequality with the help of weighted integrals. Ukrainian Mathematical Journal. Kyiv: UNational Academy of Sciences of Ukraine. Institute of Mathematics, vol. 75, no. 6, p. 842-860. E-ISSN 1573-9376. http://repositorio.unne.edu.ar/handle/123456789/60049 eng https://doi.org/10.1007/s11253-023-02232-4 https://link.springer.com/article/10.1007/s11253-023-02232-4 closedAccess http://creativecommons.org/licenses/by-nc-nd/2.5/ar/ application/pdf p. 842-860 application/pdf National Academy of Sciences of Ukraine. Institute of Mathematics Ukrainian Mathematical Journal, 2023, vol. 75, no. 6, p. 842-860.
institution Universidad Nacional del Nordeste
institution_str I-48
repository_str R-184
collection RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
language Inglés
topic Hermite-Hadamard integral inequality
Integral operators weighted
(h,m)-convex modified functions
spellingShingle Hermite-Hadamard integral inequality
Integral operators weighted
(h,m)-convex modified functions
Bayraktar, Bahtiyar
Nápoles Valdés, Juan Eduardo
Rabossi, Florencia
Some refinements of the Hermite–Hadamard inequality with the help of weighted integrals
topic_facet Hermite-Hadamard integral inequality
Integral operators weighted
(h,m)-convex modified functions
description By using the definition of modified (h, m, s)-convex functions of the second type, we present various refinements of the classical Hermite–Hadamard inequality obtained within the framework of weighted integrals. Throughout the paper, we show that various known results available from the literature can be obtained as particular cases of our results.
format Artículo
author Bayraktar, Bahtiyar
Nápoles Valdés, Juan Eduardo
Rabossi, Florencia
author_facet Bayraktar, Bahtiyar
Nápoles Valdés, Juan Eduardo
Rabossi, Florencia
author_sort Bayraktar, Bahtiyar
title Some refinements of the Hermite–Hadamard inequality with the help of weighted integrals
title_short Some refinements of the Hermite–Hadamard inequality with the help of weighted integrals
title_full Some refinements of the Hermite–Hadamard inequality with the help of weighted integrals
title_fullStr Some refinements of the Hermite–Hadamard inequality with the help of weighted integrals
title_full_unstemmed Some refinements of the Hermite–Hadamard inequality with the help of weighted integrals
title_sort some refinements of the hermite–hadamard inequality with the help of weighted integrals
publisher National Academy of Sciences of Ukraine. Institute of Mathematics
publishDate 2026
url http://repositorio.unne.edu.ar/handle/123456789/60049
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AT napolesvaldesjuaneduardo somerefinementsofthehermitehadamardinequalitywiththehelpofweightedintegrals
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