Some refinements of the Hermite–Hadamard inequality with the help of weighted integrals

By using the definition of modified (h, m, s)-convex functions of the second type, we present various refinements of the classical Hermite–Hadamard inequality obtained within the framework of weighted integrals. Throughout the paper, we show that various known results available from the literature...

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Detalles Bibliográficos
Autores principales: Bayraktar, Bahtiyar, Nápoles Valdés, Juan Eduardo, Rabossi, Florencia
Formato: Artículo
Lenguaje:Inglés
Publicado: National Academy of Sciences of Ukraine. Institute of Mathematics 2026
Materias:
Hermite-Hadamard integral inequality
Integral operators weighted
(h,m)-convex modified functions
Acceso en línea:http://repositorio.unne.edu.ar/handle/123456789/60049
Aporte de:
RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) de Universidad Nacional del Nordeste
Descripción
Sumario:By using the definition of modified (h, m, s)-convex functions of the second type, we present various refinements of the classical Hermite–Hadamard inequality obtained within the framework of weighted integrals. Throughout the paper, we show that various known results available from the literature can be obtained as particular cases of our results.

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