Some new estimates of integral inequalities and their applications

We obtain several new integral inequalities in terms of fractional integral operators for the functions whose first derivatives satisfy either the conditions of the Lagrange theorem or the Lipschitz condition. In some special cases, the results obtained provide better upper estimates than those kno...

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Detalles Bibliográficos
Autores principales: Bayraktar, Bahtiyar, Butt, Saad Ihsan, Nápoles Valdés, Juan Eduardo, Rabossi, Florencia
Formato: Artículo
Lenguaje:Inglés
Publicado: National Academy of Sciences of Ukraine. Institute of Mathematics 2026
Materias:
Convex function
Quasi-convex
Hermite-Hadamard type inequality
Simpson type inequalities
Riemann-Liouville fraction integrals
Lipschitz condition
Lagrange theorem
Acceso en línea:http://repositorio.unne.edu.ar/handle/123456789/60050
Aporte de:
RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) de Universidad Nacional del Nordeste
Descripción
Sumario:We obtain several new integral inequalities in terms of fractional integral operators for the functions whose first derivatives satisfy either the conditions of the Lagrange theorem or the Lipschitz condition. In some special cases, the results obtained provide better upper estimates than those known in the literature for Bullen-type inequality and Hadamard-type right-hand side inequality. Finally, some error estimates for the trapezoidal formula are discussed.

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