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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Detalles Bibliográficos
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
Descripción
Sumario: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.

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