New Jensen-type integral inequalities via modified (h, m)-convexity and their applications

This article presents new developments and applications of Jensen’s inequality. We explore various variations of Jensen’s inequality related to modified (h, m)-convex functions. The obtained results extend the applicability of the inequality to a broader class of functions and contexts. In add...

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Autores principales: Bayraktar, Bahtiyar, Kórus, Péter, Nápoles Valdés, Juan Eduardo
Formato: Artículo
Lenguaje:Inglés
Publicado: Universidad Comenius 2026
Materias:
Convex function
Modified (h, m)-convexity
Jensen’s inequality
Hermite–Hadamard inequality
Hölder’s inequality
Power mean inequality
Acceso en línea:http://repositorio.unne.edu.ar/handle/123456789/60059
Aporte de:
RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) de Universidad Nacional del Nordeste
id I48-R184-123456789-60059
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spelling I48-R184-123456789-600592026-02-14T20:20:59Z New Jensen-type integral inequalities via modified (h, m)-convexity and their applications Bayraktar, Bahtiyar Kórus, Péter Nápoles Valdés, Juan Eduardo Convex function Modified (h, m)-convexity Jensen’s inequality Hermite–Hadamard inequality Hölder’s inequality Power mean inequality This article presents new developments and applications of Jensen’s inequality. We explore various variations of Jensen’s inequality related to modified (h, m)-convex functions. The obtained results extend the applicability of the inequality to a broader class of functions and contexts. In addition to the fact that the results presented in the article provide additional results available in the literature, we also give examples of their application. 2026-02-13T18:37:03Z 2026-02-13T18:37:03Z 2023 Artículo Bayraktar, Bahtiyar, Kórus, Péter y Nápoles Valdés, Juan Eduardo, 2023. New Jensen-type integral inequalities via modified (h, m)-convexity and their applications. Acta Mathematica Universitatis Comenianae. Bratislava: Universidad Comenius, vol. XCII, no. 3, p. 213-223. ISSN 0862-9544. 0862-9544 http://repositorio.unne.edu.ar/handle/123456789/60059 eng http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/2001 openAccess http://creativecommons.org/licenses/by-nc-nd/2.5/ar/ application/pdf p. 213-223 application/pdf Universidad Comenius Acta Mathematica Universitatis Comenianae, 2023, vol. XCII, no. 3, p. 213-223.
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
Modified (h, m)-convexity
Jensen’s inequality
Hermite–Hadamard inequality
Hölder’s inequality
Power mean inequality
spellingShingle Convex function
Modified (h, m)-convexity
Jensen’s inequality
Hermite–Hadamard inequality
Hölder’s inequality
Power mean inequality
Bayraktar, Bahtiyar
Kórus, Péter
Nápoles Valdés, Juan Eduardo
New Jensen-type integral inequalities via modified (h, m)-convexity and their applications
topic_facet Convex function
Modified (h, m)-convexity
Jensen’s inequality
Hermite–Hadamard inequality
Hölder’s inequality
Power mean inequality
description This article presents new developments and applications of Jensen’s inequality. We explore various variations of Jensen’s inequality related to modified (h, m)-convex functions. The obtained results extend the applicability of the inequality to a broader class of functions and contexts. In addition to the fact that the results presented in the article provide additional results available in the literature, we also give examples of their application.
format Artículo
author Bayraktar, Bahtiyar
Kórus, Péter
Nápoles Valdés, Juan Eduardo
author_facet Bayraktar, Bahtiyar
Kórus, Péter
Nápoles Valdés, Juan Eduardo
author_sort Bayraktar, Bahtiyar
title New Jensen-type integral inequalities via modified (h, m)-convexity and their applications
title_short New Jensen-type integral inequalities via modified (h, m)-convexity and their applications
title_full New Jensen-type integral inequalities via modified (h, m)-convexity and their applications
title_fullStr New Jensen-type integral inequalities via modified (h, m)-convexity and their applications
title_full_unstemmed New Jensen-type integral inequalities via modified (h, m)-convexity and their applications
title_sort new jensen-type integral inequalities via modified (h, m)-convexity and their applications
publisher Universidad Comenius
publishDate 2026
url http://repositorio.unne.edu.ar/handle/123456789/60059
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