Some new fractional corrected Euler-Maclaurin type inequalities for function whose second derivatives are s-convex function
| Autor: | Arslan Munir, Miguel Vivas-Cortez, Ather Qayyum, Hüseyin Budak, Irza Faiz, Siti Suzlin Supadi |
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| Jazyk: | angličtina |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Mathematical and Computer Modelling of Dynamical Systems, Vol 30, Iss 1, Pp 543-566 (2024) |
| Druh dokumentu: | article |
| ISSN: | 13873954 1744-5051 1387-3954 |
| DOI: | 10.1080/13873954.2024.2356698 |
| Popis: | 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: see text]-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. |
| Databáze: | Directory of Open Access Journals |
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