Integral inequalities for mappings whose derivatives are (h, m, s)−convex modified of second type via Katugampola integrals

In this paper, using the definition of functions (h,m,s)-convex modified of second type, various extensions of the classic Hermite-Hadamard Inequality are obtained using Katugampola integrals. In addition, we show that several results known are particular cases of ours.

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Detalles Bibliográficos
Autores principales: Bayraktar, Bahtiyar, Nápoles Valdés, Juan Eduardo
Formato: Artículo
Lenguaje:Inglés
Publicado: Universidad de Craiova. Departamentos de Matemáticas y de Ciencias de la Computación 2026
Materias:
Hermite-Hadamard integral inequality
Katugampola fractional integral
(h, m, s)−convex modified functions
Acceso en línea:http://repositorio.unne.edu.ar/handle/123456789/60048
Aporte de:
RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) de Universidad Nacional del Nordeste
id I48-R184-123456789-60048
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spelling I48-R184-123456789-600482026-02-13T10:02:25Z Integral inequalities for mappings whose derivatives are (h, m, s)−convex modified of second type via Katugampola integrals Bayraktar, Bahtiyar Nápoles Valdés, Juan Eduardo Hermite-Hadamard integral inequality Katugampola fractional integral (h, m, s)−convex modified functions In this paper, using the definition of functions (h,m,s)-convex modified of second type, various extensions of the classic Hermite-Hadamard Inequality are obtained using Katugampola integrals. In addition, we show that several results known are particular cases of ours. 2026-02-12T20:01:14Z 2026-02-12T20:01:14Z 2022 Artículo Bayraktar, Bahtiyar y Nápoles Valdés, Juan Eduardo, 2022. Integral inequalities for mappings whose derivatives are (h, m, s)−convex modified of second type via Katugampola integrals. Annals of the University of Craiova, Mathematics and Computer Science Series. Craiova: Universidad de Craiova. Departamentos de Matemáticas y de Ciencias de la Computación, vol. 49, no. 2, p. 371-383. E-ISSN 2246-9958. 1223-6934 http://repositorio.unne.edu.ar/handle/123456789/60048 eng https://doi.org/10.52846/ami.v49i2.1596 http://inf.ucv.ro/~ami/index.php/ami/article/view/1596 openAccess http://creativecommons.org/licenses/by-nc-nd/2.5/ar/ application/pdf p. 371-383 application/pdf Universidad de Craiova. Departamentos de Matemáticas y de Ciencias de la Computación Annals of the University of Craiova, Mathematics and Computer Science Series, 2022, vol. 49, no. 2, p. 371-383.
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
Katugampola fractional integral
(h, m, s)−convex modified functions
spellingShingle Hermite-Hadamard integral inequality
Katugampola fractional integral
(h, m, s)−convex modified functions
Bayraktar, Bahtiyar
Nápoles Valdés, Juan Eduardo
Integral inequalities for mappings whose derivatives are (h, m, s)−convex modified of second type via Katugampola integrals
topic_facet Hermite-Hadamard integral inequality
Katugampola fractional integral
(h, m, s)−convex modified functions
description In this paper, using the definition of functions (h,m,s)-convex modified of second type, various extensions of the classic Hermite-Hadamard Inequality are obtained using Katugampola integrals. In addition, we show that several results known are particular cases of ours.
format Artículo
author Bayraktar, Bahtiyar
Nápoles Valdés, Juan Eduardo
author_facet Bayraktar, Bahtiyar
Nápoles Valdés, Juan Eduardo
author_sort Bayraktar, Bahtiyar
title Integral inequalities for mappings whose derivatives are (h, m, s)−convex modified of second type via Katugampola integrals
title_short Integral inequalities for mappings whose derivatives are (h, m, s)−convex modified of second type via Katugampola integrals
title_full Integral inequalities for mappings whose derivatives are (h, m, s)−convex modified of second type via Katugampola integrals
title_fullStr Integral inequalities for mappings whose derivatives are (h, m, s)−convex modified of second type via Katugampola integrals
title_full_unstemmed Integral inequalities for mappings whose derivatives are (h, m, s)−convex modified of second type via Katugampola integrals
title_sort integral inequalities for mappings whose derivatives are (h, m, s)−convex modified of second type via katugampola integrals
publisher Universidad de Craiova. Departamentos de Matemáticas y de Ciencias de la Computación
publishDate 2026
url http://repositorio.unne.edu.ar/handle/123456789/60048
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AT napolesvaldesjuaneduardo integralinequalitiesformappingswhosederivativesarehmsconvexmodifiedofsecondtypeviakatugampolaintegrals
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