New generalized integral inequalities via (H, M)-convex modified functions

In this article, we establish several inequalities for (h, m)-convex maps, related to weighted integrals, used in previous works. Throughout the work, we show that our results generalize several of the integral inequalities known from the literature.

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Detalles Bibliográficos
Autores principales: Bayraktar, Bahtiyar, Nápoles Valdés, Juan Eduardo
Formato: Artículo
Lenguaje:Inglés
Publicado: Udmurt State University 2026
Materias:
Hermite–Hadamard inequality
Hölder inequality
Power mean inequality
Weighted integrals
(m, h)-convex functions
Acceso en línea:http://repositorio.unne.edu.ar/handle/123456789/60062
Aporte de:
RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) de Universidad Nacional del Nordeste
id I48-R184-123456789-60062
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spelling I48-R184-123456789-600622026-02-14T20:21:19Z New generalized integral inequalities via (H, M)-convex modified functions Bayraktar, Bahtiyar Nápoles Valdés, Juan Eduardo Hermite–Hadamard inequality Hölder inequality Power mean inequality Weighted integrals (m, h)-convex functions In this article, we establish several inequalities for (h, m)-convex maps, related to weighted integrals, used in previous works. Throughout the work, we show that our results generalize several of the integral inequalities known from the literature. 2026-02-13T18:50:48Z 2026-02-13T18:50:48Z 2022 Artículo Bayraktar, Bahtiyar y Nápoles Valdés, Juan Eduardo, 2022. New generalized integral inequalities via (H, M)-convex modified functions. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta. Izhevsk: Udmurt State University, vol. 60, p. 3-15. E-ISSN 2410‑1737. http://repositorio.unne.edu.ar/handle/123456789/60062 eng https://doi.org/10.35634/2226-3594-2022-60-01 openAccess http://creativecommons.org/licenses/by-nc-nd/2.5/ar/ application/pdf p. 3-15 application/pdf Udmurt State University Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2022, vol. 60, p. 3-15.
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 inequality
Hölder inequality
Power mean inequality
Weighted integrals
(m, h)-convex functions
spellingShingle Hermite–Hadamard inequality
Hölder inequality
Power mean inequality
Weighted integrals
(m, h)-convex functions
Bayraktar, Bahtiyar
Nápoles Valdés, Juan Eduardo
New generalized integral inequalities via (H, M)-convex modified functions
topic_facet Hermite–Hadamard inequality
Hölder inequality
Power mean inequality
Weighted integrals
(m, h)-convex functions
description In this article, we establish several inequalities for (h, m)-convex maps, related to weighted integrals, used in previous works. Throughout the work, we show that our results generalize several of the integral inequalities known from the literature.
format Artículo
author Bayraktar, Bahtiyar
Nápoles Valdés, Juan Eduardo
author_facet Bayraktar, Bahtiyar
Nápoles Valdés, Juan Eduardo
author_sort Bayraktar, Bahtiyar
title New generalized integral inequalities via (H, M)-convex modified functions
title_short New generalized integral inequalities via (H, M)-convex modified functions
title_full New generalized integral inequalities via (H, M)-convex modified functions
title_fullStr New generalized integral inequalities via (H, M)-convex modified functions
title_full_unstemmed New generalized integral inequalities via (H, M)-convex modified functions
title_sort new generalized integral inequalities via (h, m)-convex modified functions
publisher Udmurt State University
publishDate 2026
url http://repositorio.unne.edu.ar/handle/123456789/60062
work_keys_str_mv AT bayraktarbahtiyar newgeneralizedintegralinequalitiesviahmconvexmodifiedfunctions
AT napolesvaldesjuaneduardo newgeneralizedintegralinequalitiesviahmconvexmodifiedfunctions
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