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

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 ̈olde...

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Autores principales: Bayraktar, Bahtiyar, Nápoles Valdés, Juan Eduardo
Formato: Artículo
Lenguaje:Inglés
Publicado: Element D.O.O. 2026
Materias:
Hermite-Hadamard type integral inequality
Hölder's integral inequality
Weighted integral operators
(h,m)-convex modified functions
Acceso en línea:http://repositorio.unne.edu.ar/handle/123456789/60061
Aporte de:
RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) de Universidad Nacional del Nordeste
id I48-R184-123456789-60061
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spelling I48-R184-123456789-600612026-02-14T20:21:12Z Hermite-Hadamard weighted integral inequalities for (h,m)-convex modified functions Bayraktar, Bahtiyar Nápoles Valdés, Juan Eduardo Hermite-Hadamard type integral inequality Hölder's integral inequality Weighted integral operators (h,m)-convex modified functions 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. 2026-02-13T18:45:46Z 2026-02-13T18:45:46Z 2022 Artículo 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 eng dx.doi.org/10.7153/fdc-2022-12-15 openAccess http://creativecommons.org/licenses/by-nc-nd/2.5/ar/ application/pdf p. 235-248 application/pdf Element D.O.O. Fractional Differential Calculus, 2022, vol. 12, no. 2, p. 235-248.
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 type integral inequality
Hölder's integral inequality
Weighted integral operators
(h,m)-convex modified functions
spellingShingle Hermite-Hadamard type integral inequality
Hölder's integral inequality
Weighted integral operators
(h,m)-convex modified functions
Bayraktar, Bahtiyar
Nápoles Valdés, Juan Eduardo
Hermite-Hadamard weighted integral inequalities for (h,m)-convex modified functions
topic_facet Hermite-Hadamard type integral inequality
Hölder's integral inequality
Weighted integral operators
(h,m)-convex modified functions
description 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.
format Artículo
author Bayraktar, Bahtiyar
Nápoles Valdés, Juan Eduardo
author_facet Bayraktar, Bahtiyar
Nápoles Valdés, Juan Eduardo
author_sort Bayraktar, Bahtiyar
title Hermite-Hadamard weighted integral inequalities for (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
publisher Element D.O.O.
publishDate 2026
url http://repositorio.unne.edu.ar/handle/123456789/60061
work_keys_str_mv AT bayraktarbahtiyar hermitehadamardweightedintegralinequalitiesforhmconvexmodifiedfunctions
AT napolesvaldesjuaneduardo hermitehadamardweightedintegralinequalitiesforhmconvexmodifiedfunctions
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