Some new fractional corrected Euler-Maclaurin type inequalities for function whose second derivatives are s-convex function

Arslan Munir, Miguel Vivas-Cortez, Ather Qayyum, Hüseyin Budak, Irza Faiz, Siti Suzlin Supadi

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

Resumen

Fractional integrals and inequalities have gained a lot of attention in recent years. By introducing innovative analytical approaches and applications, and by applying these approaches, numerous forms of inequalities have been examined. In this paper, we establish new identity for the twice differentiable function where the absolute value is convex. By utilizing this identity, numerous Corrected Euler-Maclaurin-type inequalities are developed for the Caputo-Fabrizio fractional integral operator. Based on this identity, the Corrected Euler-Maclaurin-type inequalities for (Formula presented.) -convex function are obtained. By employing well-known inequalities such as Hölder’s and Power -Mean, we are introduced several new error bounds and estimates for Corrected Euler-Maclaurin-type inequalities. Additionally, special cases of the present results are applied to obtain the previous well-known results.

Idioma originalInglés
Páginas (desde-hasta)543-566
Número de páginas24
PublicaciónMathematical and Computer Modelling of Dynamical Systems
Volumen30
N.º1
DOI
EstadoPublicada - 2024
Publicado de forma externa

Nota bibliográfica

Publisher Copyright:
© 2024 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group.

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