On New Generalized Hermite-Hadamard-Mercer-Type Inequalities for Raina Functions
Ciftci, Zeynep, Coskun, Merve, Yildiz, Cetin, Cotirla, Luminita-Ioana, Breaz, Daniel
In this research, we demonstrate novel Hermite-Hadamard-Mercer fractional integral inequalities using a wide class of fractional integral operators (the Raina fractional operator). Moreover, a new lemma of this type is proved, and new identities are obtained using the definition of convex function. In addition to a detailed derivation of a few special situations, certain known findings are summarized. We also point out that some results in this study, in some special cases, such as setting alpha=0=phi,gamma=1, and w=0,sigma(0)=1,lambda=1, are more reasonable than those obtained. Finally, it is believed that the technique presented in this paper will encourage additional study in this field.
- Journal
- FRACTAL AND FRACTIONAL
- Year
- 2024
- Volume
- 8
- Issue
- 8
- eISSN
- 2504-3110
- DOI
- 10.3390/fractalfract8080472
- WoS UID
- WOS:001305113500001