Munir, Arslan and Vivas-Cortez, Miguel and Qayyum, Ather and Budak, Huseyin and Faiz, Irza and Supadi, Siti Suzlin (2024) Some new fractional corrected Euler-Maclaurin type inequalities for function whose second derivatives are s-convex function. Mathematical and Computer Modelling of Dynamical Systems, 30 (1). pp. 543-566. ISSN 1387-3954, DOI https://doi.org/10.1080/13873954.2024.2356698.
Full text not available from this repository.Abstract
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 $s$s-convex function are obtained. By employing well-known inequalities such as H & ouml;lder'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.
| Item Type: | Article |
|---|---|
| Funders: | UNSPECIFIED |
| Uncontrolled Keywords: | Euler-Maclaurin-type inequalities; fractional integrals; corrected Euler-Maclaurin-type inequalities; power-mean inequality; s-convex function |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms. Juhaida Abd Rahim |
| Date Deposited: | 13 Sep 2024 04:50 |
| Last Modified: | 13 Sep 2024 04:50 |
| URI: | http://eprints.um.edu.my/id/eprint/45085 |
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