Some new inequalities of Hermite−Hadamard type via Katugampola fractional integral

In this study, we present the midpoint and trapezoid inequali- ties for an F−convex function in terms of Katugampola fractional integral operators. We obtained new results involving Katugampola-fractional in- tegral operators for differentiable mapping φ whose second derivatives in the absol...

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Autores principales: Butt, Saad Ihsan, Bayraktar, Bahtiyar, Nápoles Valdés, Juan Eduardo
Formato: Artículo
Lenguaje:Inglés
Publicado: Universidad del Punjab. Instituto de matemática 2026
Materias:
Hermite–Hadamard inequality
F−convex function
Young inequality
Hölder’s inequality
power mean inequality
Katugampola fractional integral
Acceso en línea:http://repositorio.unne.edu.ar/handle/123456789/60012
Aporte de:
RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) de Universidad Nacional del Nordeste
id I48-R184-123456789-60012
record_format dspace
spelling I48-R184-123456789-600122026-02-12T10:13:18Z Some new inequalities of Hermite−Hadamard type via Katugampola fractional integral Butt, Saad Ihsan Bayraktar, Bahtiyar Nápoles Valdés, Juan Eduardo Hermite–Hadamard inequality F−convex function Young inequality Hölder’s inequality power mean inequality Katugampola fractional integral In this study, we present the midpoint and trapezoid inequali- ties for an F−convex function in terms of Katugampola fractional integral operators. We obtained new results involving Katugampola-fractional in- tegral operators for differentiable mapping φ whose second derivatives in the absolute values are F−convex. Also established connections between our results with several renowned results in literature. Results proved in this paper may stimulate further research in this area. 2026-02-10T11:18:16Z 2026-02-10T11:18:16Z 2023 Artículo Butt, Saad Ihsan, Bayraktar, Bahtiyar y Nápoles Valdés, Juan Eduardo, 2023. Some new inequalities of Hermite−Hadamard type via Katugampola fractional integral. Punjab University Journal of Mathematics. Lahore: Universidad del Punjab. Instituto de matemática, vol. 55, no. 7-8, p. 269-289. E-ISSN 1016-2526. DOI https://doi.org/10.52280/pujm.2023.55(7-8)02 http://repositorio.unne.edu.ar/handle/123456789/60012 eng https://doi.org/10.52280/pujm.2023.55(7-8)02 openAccess http://creativecommons.org/licenses/by-nc-nd/2.5/ar/ application/pdf p. 269-289 application/pdf Universidad del Punjab. Instituto de matemática Punjab University Journal of Mathematics, 2023, vol. 55, no. 7-8, p. 269-289.
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
F−convex function
Young inequality
Hölder’s inequality
power mean inequality
Katugampola fractional integral
spellingShingle Hermite–Hadamard inequality
F−convex function
Young inequality
Hölder’s inequality
power mean inequality
Katugampola fractional integral
Butt, Saad Ihsan
Bayraktar, Bahtiyar
Nápoles Valdés, Juan Eduardo
Some new inequalities of Hermite−Hadamard type via Katugampola fractional integral
topic_facet Hermite–Hadamard inequality
F−convex function
Young inequality
Hölder’s inequality
power mean inequality
Katugampola fractional integral
description In this study, we present the midpoint and trapezoid inequali- ties for an F−convex function in terms of Katugampola fractional integral operators. We obtained new results involving Katugampola-fractional in- tegral operators for differentiable mapping φ whose second derivatives in the absolute values are F−convex. Also established connections between our results with several renowned results in literature. Results proved in this paper may stimulate further research in this area.
format Artículo
author Butt, Saad Ihsan
Bayraktar, Bahtiyar
Nápoles Valdés, Juan Eduardo
author_facet Butt, Saad Ihsan
Bayraktar, Bahtiyar
Nápoles Valdés, Juan Eduardo
author_sort Butt, Saad Ihsan
title Some new inequalities of Hermite−Hadamard type via Katugampola fractional integral
title_short Some new inequalities of Hermite−Hadamard type via Katugampola fractional integral
title_full Some new inequalities of Hermite−Hadamard type via Katugampola fractional integral
title_fullStr Some new inequalities of Hermite−Hadamard type via Katugampola fractional integral
title_full_unstemmed Some new inequalities of Hermite−Hadamard type via Katugampola fractional integral
title_sort some new inequalities of hermite−hadamard type via katugampola fractional integral
publisher Universidad del Punjab. Instituto de matemática
publishDate 2026
url http://repositorio.unne.edu.ar/handle/123456789/60012
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AT napolesvaldesjuaneduardo somenewinequalitiesofhermitehadamardtypeviakatugampolafractionalintegral
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