Some extensions of the Hermite-Hadamard inequalities for quasi-convex functions via weighted integral

In this note, starting with a lemma, we obtain several extensions of the well-known Hermite-Hadamard inequality for convex functions, using generalized weighted integral operators.

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Autores principales: Bayraktar, Bahtiyar, Nápoles Valdés, Juan Eduardo, Rabossi, Florencia, Samaniego, Aylén Danahe
Formato: Artículo
Lenguaje:Inglés
Publicado: Universidad Católica del Norte 2026
Materias:
Convex functions
Quasi-convex functions
Hadamard type inequality
Integral operators weighted
Acceso en línea:http://repositorio.unne.edu.ar/handle/123456789/60047
Aporte de:
RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) de Universidad Nacional del Nordeste
id I48-R184-123456789-60047
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spelling I48-R184-123456789-600472026-02-13T10:02:19Z Some extensions of the Hermite-Hadamard inequalities for quasi-convex functions via weighted integral Bayraktar, Bahtiyar Nápoles Valdés, Juan Eduardo Rabossi, Florencia Samaniego, Aylén Danahe Convex functions Quasi-convex functions Hadamard type inequality Integral operators weighted In this note, starting with a lemma, we obtain several extensions of the well-known Hermite-Hadamard inequality for convex functions, using generalized weighted integral operators. 2026-02-12T19:55:49Z 2026-02-12T19:55:49Z 2023 Artículo Bayraktar, Bahtiyar, et al., 2023. Some extensions of the Hermite-Hadamard inequalities for quasi-convex functions via weighted integral. Proyecciones Journal of Mathematics. Antofagasta: Universidad Católica del Norte, vol. 42, no. 5, p. 1221–1239. E-ISSN 0717-6279. http://repositorio.unne.edu.ar/handle/123456789/60047 eng https://doi.org/10.22199/issn.0717-6279-5610 https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/5610 openAccess http://creativecommons.org/licenses/by/2.5/ar/ application/pdf p. 1221–1239 application/pdf Universidad Católica del Norte Proyecciones Journal of Mathematics, 2023, vol. 42, no. 5, p. 1221–1239.
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 Convex functions
Quasi-convex functions
Hadamard type inequality
Integral operators weighted
spellingShingle Convex functions
Quasi-convex functions
Hadamard type inequality
Integral operators weighted
Bayraktar, Bahtiyar
Nápoles Valdés, Juan Eduardo
Rabossi, Florencia
Samaniego, Aylén Danahe
Some extensions of the Hermite-Hadamard inequalities for quasi-convex functions via weighted integral
topic_facet Convex functions
Quasi-convex functions
Hadamard type inequality
Integral operators weighted
description In this note, starting with a lemma, we obtain several extensions of the well-known Hermite-Hadamard inequality for convex functions, using generalized weighted integral operators.
format Artículo
author Bayraktar, Bahtiyar
Nápoles Valdés, Juan Eduardo
Rabossi, Florencia
Samaniego, Aylén Danahe
author_facet Bayraktar, Bahtiyar
Nápoles Valdés, Juan Eduardo
Rabossi, Florencia
Samaniego, Aylén Danahe
author_sort Bayraktar, Bahtiyar
title Some extensions of the Hermite-Hadamard inequalities for quasi-convex functions via weighted integral
title_short Some extensions of the Hermite-Hadamard inequalities for quasi-convex functions via weighted integral
title_full Some extensions of the Hermite-Hadamard inequalities for quasi-convex functions via weighted integral
title_fullStr Some extensions of the Hermite-Hadamard inequalities for quasi-convex functions via weighted integral
title_full_unstemmed Some extensions of the Hermite-Hadamard inequalities for quasi-convex functions via weighted integral
title_sort some extensions of the hermite-hadamard inequalities for quasi-convex functions via weighted integral
publisher Universidad Católica del Norte
publishDate 2026
url http://repositorio.unne.edu.ar/handle/123456789/60047
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AT rabossiflorencia someextensionsofthehermitehadamardinequalitiesforquasiconvexfunctionsviaweightedintegral
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