Integral inequalities for mappings whose derivatives are (h, m, s)−convex modified of second type via Katugampola integrals

In this paper, using the definition of functions (h,m,s)-convex modified of second type, various extensions of the classic Hermite-Hadamard Inequality are obtained using Katugampola integrals. In addition, we show that several results known are particular cases of ours.

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Detalles Bibliográficos
Autores principales: Bayraktar, Bahtiyar, Nápoles Valdés, Juan Eduardo
Formato: Artículo
Lenguaje:Inglés
Publicado: Universidad de Craiova. Departamentos de Matemáticas y de Ciencias de la Computación 2026
Materias:
Hermite-Hadamard integral inequality
Katugampola fractional integral
(h, m, s)−convex modified functions
Acceso en línea:http://repositorio.unne.edu.ar/handle/123456789/60048
Aporte de:
RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) de Universidad Nacional del Nordeste
Descripción
Sumario:In this paper, using the definition of functions (h,m,s)-convex modified of second type, various extensions of the classic Hermite-Hadamard Inequality are obtained using Katugampola integrals. In addition, we show that several results known are particular cases of ours.

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