On generalizations of integral inequalities

In the present study, several new generalized integral inequalities of the Hadamard and Simpson-type are obtained. The results were obtained for functions whose first and third derivatives are either convex or satisfy the Lipschitz condition or the conditions of the Lagrange theorem. In a partic...

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Autores principales: Bayraktar, Bahtiyar, Nápoles Valdés, Juan Eduardo, Rabossi, Florencia
Formato: Artículo
Lenguaje:Inglés
Publicado: Universidad Estatal de Petrozavodsk 2026
Materias:
Convex function
Hermite–Hadamard inequality
Simpson-type inequality
Lipschitz conditions
Lagrange theorem
Riemann–Liouville fractional integral
Acceso en línea:http://repositorio.unne.edu.ar/handle/123456789/60046
Aporte de:
RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) de Universidad Nacional del Nordeste
id I48-R184-123456789-60046
record_format dspace
spelling I48-R184-123456789-600462026-02-13T10:02:13Z On generalizations of integral inequalities Bayraktar, Bahtiyar Nápoles Valdés, Juan Eduardo Rabossi, Florencia Convex function Hermite–Hadamard inequality Simpson-type inequality Lipschitz conditions Lagrange theorem Riemann–Liouville fractional integral In the present study, several new generalized integral inequalities of the Hadamard and Simpson-type are obtained. The results were obtained for functions whose first and third derivatives are either convex or satisfy the Lipschitz condition or the conditions of the Lagrange theorem. In a particular case, these results not only confirm but also improve some upper bounds, well known in the literature for the Simpson and Hermite-Hadamard-type inequalities. 2026-02-12T19:50:49Z 2026-02-12T19:50:49Z 2022 Artículo Bayraktar, Bahtiyar, Nápoles Valdés, Juan Eduardo y Rabossi, Florencia, 2022. On generalizations of integral inequalities. Problemy Analiza Issues of Analysis. Petrozavodsk: Universidad Estatal de Petrozavodsk, vol. 11(29), no. 2, p. 3-23. E-ISSN 2306-3424. http://repositorio.unne.edu.ar/handle/123456789/60046 eng https://doi.org/10.15393/j3.art.2022.11190 https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=11190&lang=en openAccess http://creativecommons.org/licenses/by-nc-nd/2.5/ar/ application/pdf p. 3-23 application/pdf Universidad Estatal de Petrozavodsk Problemy Analiza Issues of Analysis, 2022, vol. 11(29). No. 2, p. 3-23.
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 function
Hermite–Hadamard inequality
Simpson-type inequality
Lipschitz conditions
Lagrange theorem
Riemann–Liouville fractional integral
spellingShingle Convex function
Hermite–Hadamard inequality
Simpson-type inequality
Lipschitz conditions
Lagrange theorem
Riemann–Liouville fractional integral
Bayraktar, Bahtiyar
Nápoles Valdés, Juan Eduardo
Rabossi, Florencia
On generalizations of integral inequalities
topic_facet Convex function
Hermite–Hadamard inequality
Simpson-type inequality
Lipschitz conditions
Lagrange theorem
Riemann–Liouville fractional integral
description In the present study, several new generalized integral inequalities of the Hadamard and Simpson-type are obtained. The results were obtained for functions whose first and third derivatives are either convex or satisfy the Lipschitz condition or the conditions of the Lagrange theorem. In a particular case, these results not only confirm but also improve some upper bounds, well known in the literature for the Simpson and Hermite-Hadamard-type inequalities.
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 On generalizations of integral inequalities
title_short On generalizations of integral inequalities
title_full On generalizations of integral inequalities
title_fullStr On generalizations of integral inequalities
title_full_unstemmed On generalizations of integral inequalities
title_sort on generalizations of integral inequalities
publisher Universidad Estatal de Petrozavodsk
publishDate 2026
url http://repositorio.unne.edu.ar/handle/123456789/60046
work_keys_str_mv AT bayraktarbahtiyar ongeneralizationsofintegralinequalities
AT napolesvaldesjuaneduardo ongeneralizationsofintegralinequalities
AT rabossiflorencia ongeneralizationsofintegralinequalities
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